TSTP Solution File: ALG153+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG153+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 : n007.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 16:38:18 EDT 2023
% Result : Unsatisfiable 26.02s 4.22s
% Output : Proof 171.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG153+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 04:34:13 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.45/0.61 Running up to 7 provers in parallel.
% 0.45/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.45/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.45/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.45/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.45/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.45/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.45/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.95/1.50 Prover 1: Preprocessing ...
% 5.95/1.51 Prover 4: Preprocessing ...
% 5.95/1.54 Prover 5: Preprocessing ...
% 5.95/1.54 Prover 3: Preprocessing ...
% 5.95/1.54 Prover 0: Preprocessing ...
% 5.95/1.54 Prover 2: Preprocessing ...
% 5.95/1.54 Prover 6: Preprocessing ...
% 9.86/2.04 Prover 3: Constructing countermodel ...
% 9.86/2.04 Prover 2: Constructing countermodel ...
% 9.86/2.04 Prover 6: Constructing countermodel ...
% 9.86/2.04 Prover 0: Constructing countermodel ...
% 10.16/2.06 Prover 4: Constructing countermodel ...
% 10.16/2.08 Prover 1: Constructing countermodel ...
% 12.07/2.37 Prover 5: Constructing countermodel ...
% 26.02/4.22 Prover 0: proved (3603ms)
% 26.02/4.22
% 26.02/4.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.02/4.22
% 26.02/4.22 Prover 3: stopped
% 26.02/4.22 Prover 2: stopped
% 26.02/4.23 Prover 6: stopped
% 26.02/4.23 Prover 5: stopped
% 26.02/4.24 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 26.02/4.24 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 26.02/4.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 26.02/4.24 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 26.02/4.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.78/4.49 Prover 13: Preprocessing ...
% 28.55/4.51 Prover 10: Preprocessing ...
% 28.55/4.54 Prover 7: Preprocessing ...
% 28.55/4.58 Prover 8: Preprocessing ...
% 29.30/4.61 Prover 11: Preprocessing ...
% 29.30/4.68 Prover 8: Constructing countermodel ...
% 30.07/4.72 Prover 13: Constructing countermodel ...
% 30.07/4.75 Prover 7: Constructing countermodel ...
% 30.07/4.78 Prover 10: Constructing countermodel ...
% 30.89/4.83 Prover 11: Constructing countermodel ...
% 67.96/9.59 Prover 13: stopped
% 67.96/9.61 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 68.91/9.71 Prover 16: Preprocessing ...
% 70.59/9.93 Prover 16: Constructing countermodel ...
% 113.08/15.43 Prover 16: stopped
% 113.08/15.43 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 113.74/15.56 Prover 19: Preprocessing ...
% 115.30/15.73 Prover 19: Constructing countermodel ...
% 117.24/15.97 Prover 1: stopped
% 139.77/19.18 Prover 19: stopped
% 154.85/21.82 Prover 10: Found proof (size 1736925)
% 154.85/21.82 Prover 10: proved (17592ms)
% 154.85/21.82 Prover 8: stopped
% 154.85/21.83 Prover 7: stopped
% 154.85/21.83 Prover 4: stopped
% 154.85/21.83 Prover 11: stopped
% 154.85/21.83
% 154.85/21.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 154.85/21.83
% 157.29/22.47 % SZS output start Proof for theBenchmark
% 157.52/22.63 Assumptions after simplification:
% 157.52/22.63 ---------------------------------
% 157.52/22.63
% 157.52/22.63 (ax1)
% 157.70/22.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.68 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 157.70/22.68 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 157.70/22.68 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 157.70/22.68 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 157.70/22.68 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 157.70/22.68 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 157.70/22.68 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 157.70/22.68 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 157.70/22.68 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 157.70/22.68 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 157.70/22.68 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 157.70/22.68 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 157.70/22.68 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 157.70/22.68 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 157.70/22.68 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 157.70/22.68 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 157.70/22.68 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 157.70/22.68 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 157.70/22.68
% 157.70/22.68 (ax10)
% 157.70/22.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.68 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e1, e3) = v2 &
% 157.70/22.68 $i(v2)) | ( ~ (v1 = e0) & op(e3, e3) = v1 & $i(v1))))
% 157.70/22.68
% 157.70/22.68 (ax11)
% 157.70/22.69 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.69 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e2, e3) = v2 &
% 157.70/22.69 $i(v2)) | ( ~ (v1 = e0) & op(e3, e3) = v1 & $i(v1))))
% 157.70/22.69
% 157.70/22.69 (ax12)
% 157.70/22.69 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.69 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e2, e0) = v2 &
% 157.70/22.69 $i(v2)) | ( ~ (v1 = e1) & op(e0, e0) = v1 & $i(v1))))
% 157.70/22.69
% 157.70/22.69 (ax13)
% 157.70/22.69 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.69 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e3, e0) = v2 &
% 157.70/22.69 $i(v2)) | ( ~ (v1 = e1) & op(e0, e0) = v1 & $i(v1))))
% 157.70/22.69
% 157.70/22.69 (ax14)
% 157.70/22.69 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.69 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e0, e2) = v2 &
% 157.70/22.69 $i(v2)) | ( ~ (v1 = e1) & op(e2, e2) = v1 & $i(v1))))
% 157.70/22.69
% 157.70/22.69 (ax15)
% 157.70/22.70 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.70 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e3, e2) = v2 &
% 157.70/22.70 $i(v2)) | ( ~ (v1 = e1) & op(e2, e2) = v1 & $i(v1))))
% 157.70/22.70
% 157.70/22.70 (ax16)
% 157.70/22.70 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.70 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e0, e3) = v2 &
% 157.70/22.70 $i(v2)) | ( ~ (v1 = e1) & op(e3, e3) = v1 & $i(v1))))
% 157.70/22.70
% 157.70/22.70 (ax17)
% 157.70/22.70 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.70 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e2, e3) = v2 &
% 157.70/22.70 $i(v2)) | ( ~ (v1 = e1) & op(e3, e3) = v1 & $i(v1))))
% 157.70/22.70
% 157.70/22.70 (ax18)
% 157.70/22.70 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.70 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e1, e0) = v2 &
% 157.70/22.70 $i(v2)) | ( ~ (v1 = e2) & op(e0, e0) = v1 & $i(v1))))
% 157.70/22.70
% 157.70/22.70 (ax19)
% 157.70/22.70 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.70 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e3, e0) = v2 &
% 157.70/22.70 $i(v2)) | ( ~ (v1 = e2) & op(e0, e0) = v1 & $i(v1))))
% 157.70/22.71
% 157.70/22.71 (ax2)
% 157.70/22.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.74 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 157.70/22.74 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 157.70/22.74 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 157.70/22.74 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 157.70/22.74 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 157.70/22.74 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 157.70/22.74 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 157.70/22.74 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 157.70/22.74 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 157.70/22.74 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 157.70/22.74 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 157.70/22.74 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 157.70/22.74 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 157.70/22.74 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 157.70/22.74 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 157.70/22.74 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 157.70/22.74 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 157.70/22.74 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 157.70/22.74 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 157.70/22.74 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 157.70/22.74 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 157.70/22.74 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 157.70/22.74 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 157.70/22.74 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 157.70/22.74 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 157.70/22.74 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 157.70/22.74 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 157.70/22.74 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 157.70/22.74 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 157.70/22.74 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 157.70/22.74 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 157.70/22.74 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 157.70/22.74 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 157.70/22.74 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 157.70/22.74 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 157.70/22.74 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 157.70/22.74 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 157.70/22.74 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 157.70/22.74 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 157.70/22.74 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 157.70/22.74 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 157.70/22.74 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 157.70/22.74 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 157.70/22.74 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 157.70/22.74 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 157.70/22.74 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 157.70/22.74 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 157.70/22.74 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 157.70/22.74 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 157.70/22.74 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 157.70/22.74 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 157.70/22.74 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 157.70/22.74 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 157.70/22.74 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 157.70/22.74 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 157.70/22.74 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 157.70/22.74 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 157.70/22.74 (v1 = e0 & op(e0, e1) = e0)))))
% 157.70/22.74
% 157.70/22.74 (ax20)
% 157.70/22.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.74 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e0, e1) = v2 &
% 157.70/22.74 $i(v2)) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))))
% 157.70/22.74
% 157.70/22.74 (ax21)
% 157.70/22.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.74 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e3, e1) = v2 &
% 157.70/22.74 $i(v2)) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))))
% 157.70/22.74
% 157.70/22.74 (ax22)
% 157.70/22.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.74 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e0, e3) = v2 &
% 157.70/22.74 $i(v2)) | ( ~ (v1 = e2) & op(e3, e3) = v1 & $i(v1))))
% 157.70/22.74
% 157.70/22.74 (ax23)
% 157.70/22.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.74 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e1, e3) = v2 &
% 157.70/22.74 $i(v2)) | ( ~ (v1 = e2) & op(e3, e3) = v1 & $i(v1))))
% 157.70/22.74
% 157.70/22.74 (ax24)
% 157.70/22.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.74 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e1, e0) = v2 &
% 157.70/22.74 $i(v2)) | ( ~ (v1 = e3) & op(e0, e0) = v1 & $i(v1))))
% 157.70/22.74
% 157.70/22.74 (ax25)
% 157.70/22.75 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.75 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e2, e0) = v2 &
% 157.70/22.75 $i(v2)) | ( ~ (v1 = e3) & op(e0, e0) = v1 & $i(v1))))
% 157.70/22.75
% 157.70/22.75 (ax26)
% 157.70/22.75 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.75 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e0, e1) = v2 &
% 157.70/22.75 $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))))
% 157.70/22.75
% 157.70/22.75 (ax27)
% 157.70/22.75 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.75 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e2, e1) = v2 &
% 157.70/22.75 $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))))
% 157.70/22.75
% 157.70/22.75 (ax28)
% 157.70/22.75 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.75 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e0, e2) = v2 &
% 157.70/22.75 $i(v2)) | ( ~ (v1 = e3) & op(e2, e2) = v1 & $i(v1))))
% 157.70/22.75
% 157.70/22.75 (ax29)
% 157.70/22.75 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.75 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e1, e2) = v2 &
% 157.70/22.75 $i(v2)) | ( ~ (v1 = e3) & op(e2, e2) = v1 & $i(v1))))
% 157.70/22.75
% 157.70/22.75 (ax3)
% 157.70/22.76 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.70/22.76 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 157.70/22.76 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 157.70/22.76 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 157.70/22.76 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 157.70/22.76 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 157.70/22.76 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 157.70/22.76 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 157.70/22.76 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 157.70/22.76 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 157.70/22.76 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 157.70/22.76 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 157.70/22.76 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 157.70/22.76 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 157.70/22.76 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 157.70/22.76 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 157.70/22.76 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 157.70/22.76 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 157.70/22.76 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 157.70/22.76 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 157.70/22.76
% 157.70/22.76 (ax4)
% 157.70/22.76 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 157.70/22.76 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 157.70/22.76
% 157.70/22.76 (ax5)
% 157.85/22.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.85/22.80 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 157.85/22.80 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 157.85/22.80 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & v12 = e3 & ~ (v3 = e2) &
% 157.85/22.80 op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = v3 & $i(v3) & ( ~ (v3 =
% 157.85/22.80 e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8))) & ( ~ (v3 = e0) | (
% 157.85/22.80 ~ (v4 = e2) & op(e2, e0) = v4 & $i(v4)))) | (v15 = e2 & v12 = e2 &
% 157.85/22.80 ~ (v5 = e3) & op(e3, e3) = v5 & op(e3, e2) = e2 & op(e2, e3) = e2 &
% 157.85/22.80 $i(v5) & ( ~ (v5 = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 & $i(v9))) & (
% 157.85/22.80 ~ (v5 = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 & $i(v6))) & ( ~ (e3 =
% 157.85/22.80 e2) | ( ~ (v5 = e2) & op(e2, e2) = v5))) | (v14 = e3 & v9 = e3 & ~
% 157.85/22.80 (v1 = e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = v1 & $i(v1)
% 157.85/22.80 & ( ~ (v1 = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))) & ( ~
% 157.85/22.80 (v1 = e0) | ( ~ (v2 = e1) & op(e1, e0) = v2 & $i(v2)))) | (v14 = e1 &
% 157.85/22.80 v9 = e1 & ~ (v5 = e3) & op(e3, e3) = v5 & op(e3, e1) = e1 & op(e1, e3)
% 157.85/22.80 = e1 & $i(v5) & ( ~ (v5 = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 &
% 157.85/22.80 $i(v12))) & ( ~ (v5 = e0) | ( ~ (v6 = e3) & op(e3, e0) = v6 &
% 157.85/22.80 $i(v6))) & ( ~ (e3 = e1) | ( ~ (v5 = e1) & op(e1, e1) = v5))) | (v13
% 157.85/22.80 = e3 & v6 = e3 & ~ (v0 = e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 157.85/22.80 op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v10 = e0) & op(e0, e2) =
% 157.85/22.80 v10 & $i(v10))) & ( ~ (v0 = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7 &
% 157.85/22.80 $i(v7)))) | (v13 = e0 & v6 = e0 & ~ (v5 = e3) & op(e3, e3) = v5 &
% 157.85/22.80 op(e3, e0) = e0 & op(e0, e3) = e0 & $i(v5) & ( ~ (v5 = e2) | ( ~ (v12 =
% 157.85/22.80 e3) & op(e3, e2) = v12 & $i(v12))) & ( ~ (v5 = e1) | ( ~ (v9 = e3)
% 157.85/22.80 & op(e3, e1) = v9 & $i(v9))) & ( ~ (e3 = e0) | ( ~ (v5 = e0) &
% 157.85/22.80 op(e0, e0) = v5))) | (v11 = e2 & v8 = e2 & ~ (v1 = e1) & op(e2, e1)
% 157.85/22.80 = e2 & op(e1, e2) = e2 & op(e1, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~
% 157.85/22.80 (v14 = e1) & op(e1, e3) = v14 & $i(v14))) & ( ~ (v1 = e0) | ( ~ (v2
% 157.85/22.80 = e1) & op(e1, e0) = v2 & $i(v2)))) | (v11 = e1 & v8 = e1 & ~ (v3
% 157.85/22.80 = e2) & op(e2, e2) = v3 & op(e2, e1) = e1 & op(e1, e2) = e1 & $i(v3) &
% 157.85/22.80 ( ~ (v3 = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 & $i(v15))) & ( ~ (v3
% 157.85/22.80 = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 & $i(v4))) & ( ~ (e2 = e1) |
% 157.85/22.80 ( ~ (v3 = e1) & op(e1, e1) = v3))) | (v10 = e2 & v4 = e2 & ~ (v0 =
% 157.85/22.80 e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = v0 & $i(v0) & (
% 157.85/22.80 ~ (v0 = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 & $i(v13))) & ( ~ (v0
% 157.85/22.80 = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7 & $i(v7)))) | (v10 = e0 & v4
% 157.85/22.80 = e0 & ~ (v3 = e2) & op(e2, e2) = v3 & op(e2, e0) = e0 & op(e0, e2) =
% 157.85/22.80 e0 & $i(v3) & ( ~ (v3 = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 &
% 157.85/22.80 $i(v15))) & ( ~ (v3 = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 &
% 157.85/22.80 $i(v8))) & ( ~ (e2 = e0) | ( ~ (v3 = e0) & op(e0, e0) = v3))) | (v7
% 157.85/22.80 = e1 & v2 = e1 & ~ (v0 = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 157.85/22.80 op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v13 = e0) & op(e0, e3) =
% 157.85/22.80 v13 & $i(v13))) & ( ~ (v0 = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10
% 157.85/22.80 & $i(v10)))) | (v7 = e0 & v2 = e0 & ~ (v1 = e1) & op(e1, e1) = v1 &
% 157.85/22.80 op(e1, e0) = e0 & op(e0, e1) = e0 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v14 =
% 157.85/22.80 e1) & op(e1, e3) = v14 & $i(v14))) & ( ~ (v1 = e2) | ( ~ (v11 =
% 157.85/22.80 e1) & op(e1, e2) = v11 & $i(v11))) & ( ~ (e1 = e0) | ( ~ (v1 = e0)
% 157.85/22.80 & op(e0, e0) = v1)))) & ((v15 = e2 & v3 = e3 & op(e3, e3) = v5 &
% 157.85/22.80 op(e2, e3) = e2 & op(e2, e2) = e3 & $i(v5) & ((v14 = e1 & op(e1, e3) =
% 157.85/22.80 e1) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))) & ((v13 = e0 &
% 157.85/22.80 op(e0, e3) = e0) | ( ~ (v0 = e3) & op(e0, e0) = v0 & $i(v0)))) |
% 157.85/22.80 (v14 = e1 & v1 = e3 & op(e3, e3) = v5 & op(e1, e3) = e1 & op(e1, e1) = e3
% 157.85/22.80 & $i(v5) & ((v15 = e2 & op(e2, e3) = e2) | ( ~ (v3 = e3) & op(e2, e2) =
% 157.85/22.80 v3 & $i(v3))) & ((v13 = e0 & op(e0, e3) = e0) | ( ~ (v0 = e3) &
% 157.85/22.80 op(e0, e0) = v0 & $i(v0)))) | (v12 = e3 & v5 = e2 & op(e3, e3) = e2
% 157.85/22.80 & op(e3, e2) = e3 & op(e2, e2) = v3 & $i(v3) & ((v11 = e1 & op(e1, e2) =
% 157.85/22.80 e1) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))) & ((v10 = e0 &
% 157.85/22.80 op(e0, e2) = e0) | ( ~ (v0 = e2) & op(e0, e0) = v0 & $i(v0)))) |
% 157.85/22.80 (v11 = e1 & v1 = e2 & op(e2, e2) = v3 & op(e1, e2) = e1 & op(e1, e1) = e2
% 157.85/22.80 & $i(v3) & ((v12 = e3 & op(e3, e2) = e3) | ( ~ (v5 = e2) & op(e3, e3) =
% 157.85/22.80 v5 & $i(v5))) & ((v10 = e0 & op(e0, e2) = e0) | ( ~ (v0 = e2) &
% 157.85/22.80 op(e0, e0) = v0 & $i(v0)))) | (v9 = e3 & v5 = e1 & op(e3, e3) = e1 &
% 157.85/22.80 op(e3, e1) = e3 & op(e1, e1) = v1 & $i(v1) & ((v8 = e2 & op(e2, e1) =
% 157.85/22.80 e2) | ( ~ (v3 = e1) & op(e2, e2) = v3 & $i(v3))) & ((v7 = e0 &
% 157.85/22.80 op(e0, e1) = e0) | ( ~ (v0 = e1) & op(e0, e0) = v0 & $i(v0)))) | (v8
% 157.85/22.80 = e2 & v3 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 & op(e1, e1) = v1 &
% 157.85/22.80 $i(v1) & ((v9 = e3 & op(e3, e1) = e3) | ( ~ (v5 = e1) & op(e3, e3) = v5
% 157.85/22.80 & $i(v5))) & ((v7 = e0 & op(e0, e1) = e0) | ( ~ (v0 = e1) & op(e0,
% 157.85/22.80 e0) = v0 & $i(v0)))) | (v6 = e3 & v5 = e0 & op(e3, e3) = e0 &
% 157.85/22.80 op(e3, e0) = e3 & op(e0, e0) = v0 & $i(v0) & ((v4 = e2 & op(e2, e0) =
% 157.85/22.80 e2) | ( ~ (v3 = e0) & op(e2, e2) = v3 & $i(v3))) & ((v2 = e1 &
% 157.85/22.80 op(e1, e0) = e1) | ( ~ (v1 = e0) & op(e1, e1) = v1 & $i(v1)))) | (v5
% 157.85/22.80 = e3 & op(e3, e3) = e3 & ((v15 = e2 & op(e2, e3) = e2) | ( ~ (v3 = e3) &
% 157.85/22.80 op(e2, e2) = v3 & $i(v3))) & ((v14 = e1 & op(e1, e3) = e1) | ( ~ (v1
% 157.85/22.80 = e3) & op(e1, e1) = v1 & $i(v1))) & ((v13 = e0 & op(e0, e3) = e0)
% 157.85/22.80 | ( ~ (v0 = e3) & op(e0, e0) = v0 & $i(v0)))) | (v4 = e2 & v3 = e0 &
% 157.85/22.80 op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e0) = v0 & $i(v0) & ((v6 = e3
% 157.85/22.80 & op(e3, e0) = e3) | ( ~ (v5 = e0) & op(e3, e3) = v5 & $i(v5))) &
% 157.85/22.80 ((v2 = e1 & op(e1, e0) = e1) | ( ~ (v1 = e0) & op(e1, e1) = v1 &
% 157.85/22.80 $i(v1)))) | (v3 = e2 & op(e2, e2) = e2 & ((v12 = e3 & op(e3, e2) =
% 157.85/22.80 e3) | ( ~ (v5 = e2) & op(e3, e3) = v5 & $i(v5))) & ((v11 = e1 &
% 157.85/22.80 op(e1, e2) = e1) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))) &
% 157.85/22.80 ((v10 = e0 & op(e0, e2) = e0) | ( ~ (v0 = e2) & op(e0, e0) = v0 &
% 157.85/22.80 $i(v0)))) | (v1 = e1 & op(e1, e1) = e1 & ((v9 = e3 & op(e3, e1) =
% 157.85/22.80 e3) | ( ~ (v5 = e1) & op(e3, e3) = v5 & $i(v5))) & ((v8 = e2 &
% 157.85/22.80 op(e2, e1) = e2) | ( ~ (v3 = e1) & op(e2, e2) = v3 & $i(v3))) & ((v7
% 157.85/22.80 = e0 & op(e0, e1) = e0) | ( ~ (v0 = e1) & op(e0, e0) = v0 &
% 157.85/22.80 $i(v0)))) | (op(e0, e0) = v0 & $i(v0) & ((v13 = e0 & v0 = e3 &
% 157.85/22.80 op(e3, e3) = v5 & op(e0, e3) = e0 & $i(v5) & ((v15 = e2 & op(e2, e3)
% 157.85/22.80 = e2) | ( ~ (v3 = e3) & op(e2, e2) = v3 & $i(v3))) & ((v14 = e1
% 157.85/22.80 & op(e1, e3) = e1) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))))
% 157.85/22.80 | (v10 = e0 & v0 = e2 & op(e2, e2) = v3 & op(e0, e2) = e0 & $i(v3) &
% 157.85/22.80 ((v12 = e3 & op(e3, e2) = e3) | ( ~ (v5 = e2) & op(e3, e3) = v5 &
% 157.85/22.80 $i(v5))) & ((v11 = e1 & op(e1, e2) = e1) | ( ~ (v1 = e2) &
% 157.85/22.80 op(e1, e1) = v1 & $i(v1)))) | (v7 = e0 & v0 = e1 & op(e1, e1) =
% 157.85/22.80 v1 & op(e0, e1) = e0 & $i(v1) & ((v9 = e3 & op(e3, e1) = e3) | ( ~
% 157.85/22.80 (v5 = e1) & op(e3, e3) = v5 & $i(v5))) & ((v8 = e2 & op(e2, e1)
% 157.85/22.80 = e2) | ( ~ (v3 = e1) & op(e2, e2) = v3 & $i(v3)))) | (v2 = e1 &
% 157.85/22.80 v1 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & ((v6 = e3 & op(e3, e0)
% 157.85/22.80 = e3) | ( ~ (v5 = e0) & op(e3, e3) = v5 & $i(v5))) & ((v4 = e2 &
% 157.85/22.80 op(e2, e0) = e2) | ( ~ (v3 = e0) & op(e2, e2) = v3 & $i(v3)))) |
% 157.85/22.80 (v0 = e0 & ((v6 = e3 & op(e3, e0) = e3) | ( ~ (v5 = e0) & op(e3, e3) =
% 157.85/22.80 v5 & $i(v5))) & ((v4 = e2 & op(e2, e0) = e2) | ( ~ (v3 = e0) &
% 157.85/22.80 op(e2, e2) = v3 & $i(v3))) & ((v2 = e1 & op(e1, e0) = e1) | ( ~
% 157.85/22.80 (v1 = e0) & op(e1, e1) = v1 & $i(v1))))))))
% 157.85/22.80
% 157.85/22.80 (ax6)
% 157.85/22.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.85/22.80 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e2, e1) = v2 &
% 157.85/22.80 $i(v2)) | ( ~ (v1 = e0) & op(e1, e1) = v1 & $i(v1))))
% 157.85/22.80
% 157.85/22.80 (ax7)
% 157.85/22.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.85/22.80 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e3, e1) = v2 &
% 157.85/22.80 $i(v2)) | ( ~ (v1 = e0) & op(e1, e1) = v1 & $i(v1))))
% 157.85/22.80
% 157.85/22.80 (ax8)
% 157.85/22.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.85/22.80 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e1, e2) = v2 &
% 157.85/22.80 $i(v2)) | ( ~ (v1 = e0) & op(e2, e2) = v1 & $i(v1))))
% 157.85/22.80
% 157.85/22.80 (ax9)
% 157.85/22.80 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 157.85/22.80 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e3, e2) = v2 &
% 157.85/22.80 $i(v2)) | ( ~ (v1 = e0) & op(e2, e2) = v1 & $i(v1))))
% 157.85/22.80
% 157.85/22.80 (function-axioms)
% 157.85/22.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 157.85/22.81 v2) = v1) | ~ (op(v3, v2) = v0))
% 157.85/22.81
% 157.85/22.81 Those formulas are unsatisfiable:
% 157.85/22.81 ---------------------------------
% 157.85/22.81
% 157.85/22.81 Begin of proof
% 157.85/22.81 |
% 157.85/22.81 | ALPHA: (ax1) implies:
% 157.85/22.82 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 157.85/22.82 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 157.85/22.82 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 157.85/22.82 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 157.85/22.82 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 157.85/22.82 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 157.85/22.82 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 157.85/22.82 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 157.85/22.82 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 157.85/22.82 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 157.85/22.82 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 157.85/22.82 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 157.85/22.82 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 157.85/22.82 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 157.85/22.82 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 157.85/22.82 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 157.85/22.82 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 157.85/22.82 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 157.85/22.82 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 157.85/22.82 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 157.85/22.82 | = e0))
% 157.85/22.82 |
% 157.85/22.82 | ALPHA: (ax2) implies:
% 158.48/22.83 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.48/22.83 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 158.48/22.83 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 158.48/22.83 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 158.48/22.83 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 158.48/22.83 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 158.48/22.83 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 158.48/22.83 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 158.48/22.83 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 158.48/22.83 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 158.48/22.83 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 158.48/22.83 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 158.48/22.83 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 158.48/22.83 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 158.48/22.83 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 158.48/22.83 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 158.48/22.83 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 158.48/22.83 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 158.48/22.83 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 158.48/22.83 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 158.48/22.83 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 158.48/22.83 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 158.48/22.83 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 158.48/22.83 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 158.48/22.83 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 158.48/22.83 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 158.48/22.83 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 158.48/22.83 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 158.48/22.83 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 158.48/22.83 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 158.48/22.83 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 158.48/22.83 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 158.48/22.83 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 158.48/22.83 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 158.48/22.83 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 158.48/22.83 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 158.48/22.83 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 158.48/22.83 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 158.48/22.83 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 158.48/22.83 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 158.48/22.83 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 158.48/22.83 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 158.48/22.83 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 158.48/22.83 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 158.48/22.83 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 158.48/22.83 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 158.48/22.83 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 158.48/22.83 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 158.48/22.83 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 158.48/22.83 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 158.48/22.83 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 158.48/22.83 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 158.48/22.83 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 158.48/22.83 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 158.48/22.83 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 158.48/22.83 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 158.48/22.83 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 158.48/22.83 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 158.48/22.83 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 158.48/22.83 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 158.48/22.83 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 158.48/22.83 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 158.48/22.83 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 158.48/22.83 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 158.48/22.83 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 158.48/22.83 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 158.48/22.83 | op(e0, e1) = e0)))))
% 158.48/22.83 |
% 158.48/22.83 | ALPHA: (ax3) implies:
% 158.48/22.84 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.48/22.84 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 158.48/22.84 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 158.48/22.84 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 158.48/22.84 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 158.48/22.84 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 158.48/22.84 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 158.48/22.84 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 158.48/22.84 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 158.48/22.84 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 158.48/22.84 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 158.48/22.84 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 158.48/22.84 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 158.48/22.84 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 158.48/22.84 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 158.48/22.84 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 158.48/22.84 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 158.48/22.84 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 158.48/22.84 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 158.48/22.84 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 158.48/22.84 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 158.48/22.84 |
% 158.48/22.84 | ALPHA: (ax4) implies:
% 158.48/22.84 | (4) ~ (e1 = e0)
% 158.48/22.84 | (5) ~ (e2 = e0)
% 158.48/22.84 | (6) ~ (e2 = e1)
% 158.48/22.84 | (7) ~ (e3 = e0)
% 158.48/22.84 | (8) ~ (e3 = e1)
% 158.48/22.84 | (9) ~ (e3 = e2)
% 158.48/22.84 |
% 158.48/22.84 | ALPHA: (ax5) implies:
% 158.60/22.86 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 158.60/22.86 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 158.60/22.86 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 158.60/22.86 | $i] : ? [v15: $i] : (((v15 = e3 & v12 = e3 & ~ (v3 = e2) & op(e3,
% 158.60/22.86 | e2) = e3 & op(e2, e3) = e3 & op(e2, e2) = v3 & $i(v3) & ( ~
% 158.60/22.86 | (v3 = e1) | ( ~ (v8 = e2) & op(e2, e1) = v8 & $i(v8))) & ( ~
% 158.60/22.86 | (v3 = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4 & $i(v4)))) | (v15
% 158.60/22.86 | = e2 & v12 = e2 & ~ (v5 = e3) & op(e3, e3) = v5 & op(e3, e2) =
% 158.60/22.86 | e2 & op(e2, e3) = e2 & $i(v5) & ( ~ (v5 = e1) | ( ~ (v9 = e3) &
% 158.60/22.86 | op(e3, e1) = v9 & $i(v9))) & ( ~ (v5 = e0) | ( ~ (v6 = e3) &
% 158.60/22.86 | op(e3, e0) = v6 & $i(v6))) & ( ~ (e3 = e2) | ( ~ (v5 = e2) &
% 158.60/22.86 | op(e2, e2) = v5))) | (v14 = e3 & v9 = e3 & ~ (v1 = e1) &
% 158.60/22.86 | op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1, e1) = v1 & $i(v1) & (
% 158.60/22.86 | ~ (v1 = e2) | ( ~ (v11 = e1) & op(e1, e2) = v11 & $i(v11))) &
% 158.60/22.86 | ( ~ (v1 = e0) | ( ~ (v2 = e1) & op(e1, e0) = v2 & $i(v2)))) |
% 158.60/22.86 | (v14 = e1 & v9 = e1 & ~ (v5 = e3) & op(e3, e3) = v5 & op(e3, e1)
% 158.60/22.86 | = e1 & op(e1, e3) = e1 & $i(v5) & ( ~ (v5 = e2) | ( ~ (v12 = e3)
% 158.60/22.86 | & op(e3, e2) = v12 & $i(v12))) & ( ~ (v5 = e0) | ( ~ (v6 =
% 158.60/22.86 | e3) & op(e3, e0) = v6 & $i(v6))) & ( ~ (e3 = e1) | ( ~ (v5
% 158.60/22.86 | = e1) & op(e1, e1) = v5))) | (v13 = e3 & v6 = e3 & ~ (v0
% 158.60/22.87 | = e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0, e0) = v0 &
% 158.60/22.87 | $i(v0) & ( ~ (v0 = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 &
% 158.60/22.87 | $i(v10))) & ( ~ (v0 = e1) | ( ~ (v7 = e0) & op(e0, e1) = v7
% 158.60/22.87 | & $i(v7)))) | (v13 = e0 & v6 = e0 & ~ (v5 = e3) & op(e3,
% 158.60/22.87 | e3) = v5 & op(e3, e0) = e0 & op(e0, e3) = e0 & $i(v5) & ( ~
% 158.60/22.87 | (v5 = e2) | ( ~ (v12 = e3) & op(e3, e2) = v12 & $i(v12))) & (
% 158.60/22.87 | ~ (v5 = e1) | ( ~ (v9 = e3) & op(e3, e1) = v9 & $i(v9))) & ( ~
% 158.60/22.87 | (e3 = e0) | ( ~ (v5 = e0) & op(e0, e0) = v5))) | (v11 = e2 &
% 158.60/22.87 | v8 = e2 & ~ (v1 = e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 158.60/22.87 | op(e1, e1) = v1 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v14 = e1) &
% 158.60/22.87 | op(e1, e3) = v14 & $i(v14))) & ( ~ (v1 = e0) | ( ~ (v2 = e1)
% 158.60/22.87 | & op(e1, e0) = v2 & $i(v2)))) | (v11 = e1 & v8 = e1 & ~ (v3
% 158.60/22.87 | = e2) & op(e2, e2) = v3 & op(e2, e1) = e1 & op(e1, e2) = e1 &
% 158.60/22.87 | $i(v3) & ( ~ (v3 = e3) | ( ~ (v15 = e2) & op(e2, e3) = v15 &
% 158.60/22.87 | $i(v15))) & ( ~ (v3 = e0) | ( ~ (v4 = e2) & op(e2, e0) = v4
% 158.60/22.87 | & $i(v4))) & ( ~ (e2 = e1) | ( ~ (v3 = e1) & op(e1, e1) =
% 158.60/22.87 | v3))) | (v10 = e2 & v4 = e2 & ~ (v0 = e0) & op(e2, e0) = e2
% 158.60/22.87 | & op(e0, e2) = e2 & op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | (
% 158.60/22.87 | ~ (v13 = e0) & op(e0, e3) = v13 & $i(v13))) & ( ~ (v0 = e1)
% 158.60/22.87 | | ( ~ (v7 = e0) & op(e0, e1) = v7 & $i(v7)))) | (v10 = e0 & v4
% 158.60/22.87 | = e0 & ~ (v3 = e2) & op(e2, e2) = v3 & op(e2, e0) = e0 & op(e0,
% 158.60/22.87 | e2) = e0 & $i(v3) & ( ~ (v3 = e3) | ( ~ (v15 = e2) & op(e2,
% 158.60/22.87 | e3) = v15 & $i(v15))) & ( ~ (v3 = e1) | ( ~ (v8 = e2) &
% 158.60/22.87 | op(e2, e1) = v8 & $i(v8))) & ( ~ (e2 = e0) | ( ~ (v3 = e0) &
% 158.60/22.87 | op(e0, e0) = v3))) | (v7 = e1 & v2 = e1 & ~ (v0 = e0) &
% 158.60/22.87 | op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0) = v0 & $i(v0) & (
% 158.60/22.87 | ~ (v0 = e3) | ( ~ (v13 = e0) & op(e0, e3) = v13 & $i(v13))) &
% 158.60/22.87 | ( ~ (v0 = e2) | ( ~ (v10 = e0) & op(e0, e2) = v10 & $i(v10)))) |
% 158.60/22.87 | (v7 = e0 & v2 = e0 & ~ (v1 = e1) & op(e1, e1) = v1 & op(e1, e0) =
% 158.60/22.87 | e0 & op(e0, e1) = e0 & $i(v1) & ( ~ (v1 = e3) | ( ~ (v14 = e1) &
% 158.60/22.87 | op(e1, e3) = v14 & $i(v14))) & ( ~ (v1 = e2) | ( ~ (v11 =
% 158.60/22.87 | e1) & op(e1, e2) = v11 & $i(v11))) & ( ~ (e1 = e0) | ( ~
% 158.60/22.87 | (v1 = e0) & op(e0, e0) = v1)))) & ((v15 = e2 & v3 = e3 &
% 158.60/22.87 | op(e3, e3) = v5 & op(e2, e3) = e2 & op(e2, e2) = e3 & $i(v5) &
% 158.60/22.87 | ((v14 = e1 & op(e1, e3) = e1) | ( ~ (v1 = e3) & op(e1, e1) = v1
% 158.60/22.87 | & $i(v1))) & ((v13 = e0 & op(e0, e3) = e0) | ( ~ (v0 = e3) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (v14 = e1 & v1 = e3 & op(e3,
% 158.60/22.87 | e3) = v5 & op(e1, e3) = e1 & op(e1, e1) = e3 & $i(v5) & ((v15
% 158.60/22.87 | = e2 & op(e2, e3) = e2) | ( ~ (v3 = e3) & op(e2, e2) = v3 &
% 158.60/22.87 | $i(v3))) & ((v13 = e0 & op(e0, e3) = e0) | ( ~ (v0 = e3) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (v12 = e3 & v5 = e2 & op(e3,
% 158.60/22.87 | e3) = e2 & op(e3, e2) = e3 & op(e2, e2) = v3 & $i(v3) & ((v11
% 158.60/22.87 | = e1 & op(e1, e2) = e1) | ( ~ (v1 = e2) & op(e1, e1) = v1 &
% 158.60/22.87 | $i(v1))) & ((v10 = e0 & op(e0, e2) = e0) | ( ~ (v0 = e2) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (v11 = e1 & v1 = e2 & op(e2,
% 158.60/22.87 | e2) = v3 & op(e1, e2) = e1 & op(e1, e1) = e2 & $i(v3) & ((v12
% 158.60/22.87 | = e3 & op(e3, e2) = e3) | ( ~ (v5 = e2) & op(e3, e3) = v5 &
% 158.60/22.87 | $i(v5))) & ((v10 = e0 & op(e0, e2) = e0) | ( ~ (v0 = e2) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (v9 = e3 & v5 = e1 & op(e3,
% 158.60/22.87 | e3) = e1 & op(e3, e1) = e3 & op(e1, e1) = v1 & $i(v1) & ((v8 =
% 158.60/22.87 | e2 & op(e2, e1) = e2) | ( ~ (v3 = e1) & op(e2, e2) = v3 &
% 158.60/22.87 | $i(v3))) & ((v7 = e0 & op(e0, e1) = e0) | ( ~ (v0 = e1) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (v8 = e2 & v3 = e1 & op(e2,
% 158.60/22.87 | e2) = e1 & op(e2, e1) = e2 & op(e1, e1) = v1 & $i(v1) & ((v9 =
% 158.60/22.87 | e3 & op(e3, e1) = e3) | ( ~ (v5 = e1) & op(e3, e3) = v5 &
% 158.60/22.87 | $i(v5))) & ((v7 = e0 & op(e0, e1) = e0) | ( ~ (v0 = e1) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (v6 = e3 & v5 = e0 & op(e3,
% 158.60/22.87 | e3) = e0 & op(e3, e0) = e3 & op(e0, e0) = v0 & $i(v0) & ((v4 =
% 158.60/22.87 | e2 & op(e2, e0) = e2) | ( ~ (v3 = e0) & op(e2, e2) = v3 &
% 158.60/22.87 | $i(v3))) & ((v2 = e1 & op(e1, e0) = e1) | ( ~ (v1 = e0) &
% 158.60/22.87 | op(e1, e1) = v1 & $i(v1)))) | (v5 = e3 & op(e3, e3) = e3 &
% 158.60/22.87 | ((v15 = e2 & op(e2, e3) = e2) | ( ~ (v3 = e3) & op(e2, e2) = v3
% 158.60/22.87 | & $i(v3))) & ((v14 = e1 & op(e1, e3) = e1) | ( ~ (v1 = e3) &
% 158.60/22.87 | op(e1, e1) = v1 & $i(v1))) & ((v13 = e0 & op(e0, e3) = e0) |
% 158.60/22.87 | ( ~ (v0 = e3) & op(e0, e0) = v0 & $i(v0)))) | (v4 = e2 & v3 =
% 158.60/22.87 | e0 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e0) = v0 &
% 158.60/22.87 | $i(v0) & ((v6 = e3 & op(e3, e0) = e3) | ( ~ (v5 = e0) & op(e3,
% 158.60/22.87 | e3) = v5 & $i(v5))) & ((v2 = e1 & op(e1, e0) = e1) | ( ~
% 158.60/22.87 | (v1 = e0) & op(e1, e1) = v1 & $i(v1)))) | (v3 = e2 & op(e2,
% 158.60/22.87 | e2) = e2 & ((v12 = e3 & op(e3, e2) = e3) | ( ~ (v5 = e2) &
% 158.60/22.87 | op(e3, e3) = v5 & $i(v5))) & ((v11 = e1 & op(e1, e2) = e1) |
% 158.60/22.87 | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))) & ((v10 = e0 &
% 158.60/22.87 | op(e0, e2) = e0) | ( ~ (v0 = e2) & op(e0, e0) = v0 &
% 158.60/22.87 | $i(v0)))) | (v1 = e1 & op(e1, e1) = e1 & ((v9 = e3 & op(e3,
% 158.60/22.87 | e1) = e3) | ( ~ (v5 = e1) & op(e3, e3) = v5 & $i(v5))) &
% 158.60/22.87 | ((v8 = e2 & op(e2, e1) = e2) | ( ~ (v3 = e1) & op(e2, e2) = v3 &
% 158.60/22.87 | $i(v3))) & ((v7 = e0 & op(e0, e1) = e0) | ( ~ (v0 = e1) &
% 158.60/22.87 | op(e0, e0) = v0 & $i(v0)))) | (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.87 | ((v13 = e0 & v0 = e3 & op(e3, e3) = v5 & op(e0, e3) = e0 &
% 158.60/22.87 | $i(v5) & ((v15 = e2 & op(e2, e3) = e2) | ( ~ (v3 = e3) &
% 158.60/22.87 | op(e2, e2) = v3 & $i(v3))) & ((v14 = e1 & op(e1, e3) =
% 158.60/22.87 | e1) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1)))) | (v10
% 158.60/22.87 | = e0 & v0 = e2 & op(e2, e2) = v3 & op(e0, e2) = e0 & $i(v3)
% 158.60/22.87 | & ((v12 = e3 & op(e3, e2) = e3) | ( ~ (v5 = e2) & op(e3, e3)
% 158.60/22.87 | = v5 & $i(v5))) & ((v11 = e1 & op(e1, e2) = e1) | ( ~
% 158.60/22.87 | (v1 = e2) & op(e1, e1) = v1 & $i(v1)))) | (v7 = e0 & v0
% 158.60/22.87 | = e1 & op(e1, e1) = v1 & op(e0, e1) = e0 & $i(v1) & ((v9 =
% 158.60/22.87 | e3 & op(e3, e1) = e3) | ( ~ (v5 = e1) & op(e3, e3) = v5
% 158.60/22.87 | & $i(v5))) & ((v8 = e2 & op(e2, e1) = e2) | ( ~ (v3 =
% 158.60/22.87 | e1) & op(e2, e2) = v3 & $i(v3)))) | (v2 = e1 & v1 = e0
% 158.60/22.87 | & op(e1, e1) = e0 & op(e1, e0) = e1 & ((v6 = e3 & op(e3, e0)
% 158.60/22.87 | = e3) | ( ~ (v5 = e0) & op(e3, e3) = v5 & $i(v5))) &
% 158.60/22.87 | ((v4 = e2 & op(e2, e0) = e2) | ( ~ (v3 = e0) & op(e2, e2) =
% 158.60/22.87 | v3 & $i(v3)))) | (v0 = e0 & ((v6 = e3 & op(e3, e0) = e3)
% 158.60/22.87 | | ( ~ (v5 = e0) & op(e3, e3) = v5 & $i(v5))) & ((v4 = e2 &
% 158.60/22.87 | op(e2, e0) = e2) | ( ~ (v3 = e0) & op(e2, e2) = v3 &
% 158.60/22.87 | $i(v3))) & ((v2 = e1 & op(e1, e0) = e1) | ( ~ (v1 = e0)
% 158.60/22.87 | & op(e1, e1) = v1 & $i(v1))))))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax6) implies:
% 158.60/22.87 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e2, e1) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e0) & op(e1, e1) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax7) implies:
% 158.60/22.87 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e3, e1) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e0) & op(e1, e1) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax8) implies:
% 158.60/22.87 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e1, e2) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e0) & op(e2, e2) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax9) implies:
% 158.60/22.87 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e3, e2) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e0) & op(e2, e2) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax10) implies:
% 158.60/22.87 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e1, e3) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e0) & op(e3, e3) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax11) implies:
% 158.60/22.87 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e2, e3) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e0) & op(e3, e3) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax12) implies:
% 158.60/22.87 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e2, e0) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e1) & op(e0, e0) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax13) implies:
% 158.60/22.87 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e3, e0) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e1) & op(e0, e0) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax14) implies:
% 158.60/22.87 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e1) & op(e2, e2) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax15) implies:
% 158.60/22.87 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 158.60/22.87 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e3, e2) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.87 | = e1) & op(e2, e2) = v1 & $i(v1))))
% 158.60/22.87 |
% 158.60/22.87 | ALPHA: (ax16) implies:
% 158.60/22.88 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e0, e3) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e1) & op(e3, e3) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax17) implies:
% 158.60/22.88 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e2, e3) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e1) & op(e3, e3) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax18) implies:
% 158.60/22.88 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e1, e0) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e2) & op(e0, e0) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax19) implies:
% 158.60/22.88 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e3, e0) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e2) & op(e0, e0) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax20) implies:
% 158.60/22.88 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e0, e1) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e2) & op(e1, e1) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax21) implies:
% 158.60/22.88 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e3, e1) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e2) & op(e1, e1) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax22) implies:
% 158.60/22.88 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e0, e3) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e2) & op(e3, e3) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax23) implies:
% 158.60/22.88 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e1, e3) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e2) & op(e3, e3) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax24) implies:
% 158.60/22.88 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e1, e0) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e3) & op(e0, e0) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax25) implies:
% 158.60/22.88 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e2, e0) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e3) & op(e0, e0) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax26) implies:
% 158.60/22.88 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e0, e1) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e3) & op(e1, e1) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax27) implies:
% 158.60/22.88 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e2, e1) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e3) & op(e1, e1) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax28) implies:
% 158.60/22.88 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 158.60/22.88 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e0, e2) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.88 | = e3) & op(e2, e2) = v1 & $i(v1))))
% 158.60/22.88 |
% 158.60/22.88 | ALPHA: (ax29) implies:
% 158.60/22.89 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 158.60/22.89 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e1, e2) = v2 & $i(v2)) | ( ~ (v1
% 158.60/22.89 | = e3) & op(e2, e2) = v1 & $i(v1))))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 158.60/22.89 | (35) op(e3, e3) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e2) | ( ~ (all_4_0
% 158.60/22.89 | = e0) & op(e3, e2) = all_4_0 & $i(all_4_0)) | ( ~ (all_4_1 = e1)
% 158.60/22.89 | & op(e2, e2) = all_4_1 & $i(all_4_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (35) implies:
% 158.60/22.89 | (36) op(e3, e3) = all_4_2
% 158.60/22.89 | (37) ~ (all_4_2 = e2) | ( ~ (all_4_0 = e0) & op(e3, e2) = all_4_0 &
% 158.60/22.89 | $i(all_4_0)) | ( ~ (all_4_1 = e1) & op(e2, e2) = all_4_1 &
% 158.60/22.89 | $i(all_4_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 158.60/22.89 | (38) op(e0, e0) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e3) | ( ~ (all_6_0
% 158.60/22.89 | = e1) & op(e0, e3) = all_6_0 & $i(all_6_0)) | ( ~ (all_6_1 = e2)
% 158.60/22.89 | & op(e3, e3) = all_6_1 & $i(all_6_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (38) implies:
% 158.60/22.89 | (39) op(e0, e0) = all_6_2
% 158.60/22.89 | (40) ~ (all_6_2 = e3) | ( ~ (all_6_0 = e1) & op(e0, e3) = all_6_0 &
% 158.60/22.89 | $i(all_6_0)) | ( ~ (all_6_1 = e2) & op(e3, e3) = all_6_1 &
% 158.60/22.89 | $i(all_6_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 158.60/22.89 | (41) op(e0, e0) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e3) | ( ~ (all_8_0
% 158.60/22.89 | = e2) & op(e0, e3) = all_8_0 & $i(all_8_0)) | ( ~ (all_8_1 = e1)
% 158.60/22.89 | & op(e3, e3) = all_8_1 & $i(all_8_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (41) implies:
% 158.60/22.89 | (42) op(e0, e0) = all_8_2
% 158.60/22.89 | (43) ~ (all_8_2 = e3) | ( ~ (all_8_0 = e2) & op(e0, e3) = all_8_0 &
% 158.60/22.89 | $i(all_8_0)) | ( ~ (all_8_1 = e1) & op(e3, e3) = all_8_1 &
% 158.60/22.89 | $i(all_8_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 158.60/22.89 | gives:
% 158.60/22.89 | (44) op(e2, e2) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e1) | ( ~
% 158.60/22.89 | (all_10_0 = e3) & op(e2, e1) = all_10_0 & $i(all_10_0)) | ( ~
% 158.60/22.89 | (all_10_1 = e0) & op(e1, e1) = all_10_1 & $i(all_10_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (44) implies:
% 158.60/22.89 | (45) op(e2, e2) = all_10_2
% 158.60/22.89 | (46) ~ (all_10_2 = e1) | ( ~ (all_10_0 = e3) & op(e2, e1) = all_10_0 &
% 158.60/22.89 | $i(all_10_0)) | ( ~ (all_10_1 = e0) & op(e1, e1) = all_10_1 &
% 158.60/22.89 | $i(all_10_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 158.60/22.89 | gives:
% 158.60/22.89 | (47) op(e2, e2) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e3) | ( ~
% 158.60/22.89 | (all_12_0 = e0) & op(e2, e3) = all_12_0 & $i(all_12_0)) | ( ~
% 158.60/22.89 | (all_12_1 = e1) & op(e3, e3) = all_12_1 & $i(all_12_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (47) implies:
% 158.60/22.89 | (48) op(e2, e2) = all_12_2
% 158.60/22.89 | (49) ~ (all_12_2 = e3) | ( ~ (all_12_0 = e0) & op(e2, e3) = all_12_0 &
% 158.60/22.89 | $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e3, e3) = all_12_1 &
% 158.60/22.89 | $i(all_12_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 158.60/22.89 | gives:
% 158.60/22.89 | (50) op(e1, e1) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e0) | ( ~
% 158.60/22.89 | (all_14_0 = e2) & op(e1, e0) = all_14_0 & $i(all_14_0)) | ( ~
% 158.60/22.89 | (all_14_1 = e3) & op(e0, e0) = all_14_1 & $i(all_14_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (50) implies:
% 158.60/22.89 | (51) op(e1, e1) = all_14_2
% 158.60/22.89 | (52) ~ (all_14_2 = e0) | ( ~ (all_14_0 = e2) & op(e1, e0) = all_14_0 &
% 158.60/22.89 | $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e0, e0) = all_14_1 &
% 158.60/22.89 | $i(all_14_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 158.60/22.89 | gives:
% 158.60/22.89 | (53) op(e1, e1) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e0) | ( ~
% 158.60/22.89 | (all_16_0 = e3) & op(e1, e0) = all_16_0 & $i(all_16_0)) | ( ~
% 158.60/22.89 | (all_16_1 = e2) & op(e0, e0) = all_16_1 & $i(all_16_1)))
% 158.60/22.89 |
% 158.60/22.89 | ALPHA: (53) implies:
% 158.60/22.89 | (54) op(e1, e1) = all_16_2
% 158.60/22.89 | (55) ~ (all_16_2 = e0) | ( ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 158.60/22.89 | $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e0, e0) = all_16_1 &
% 158.60/22.89 | $i(all_16_1))
% 158.60/22.89 |
% 158.60/22.89 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 158.60/22.89 | gives:
% 158.60/22.90 | (56) op(e3, e3) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e0) | ( ~
% 158.60/22.90 | (all_18_0 = e1) & op(e3, e0) = all_18_0 & $i(all_18_0)) | ( ~
% 158.60/22.90 | (all_18_1 = e2) & op(e0, e0) = all_18_1 & $i(all_18_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (56) implies:
% 158.60/22.90 | (57) op(e3, e3) = all_18_2
% 158.60/22.90 | (58) ~ (all_18_2 = e0) | ( ~ (all_18_0 = e1) & op(e3, e0) = all_18_0 &
% 158.60/22.90 | $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e0, e0) = all_18_1 &
% 158.60/22.90 | $i(all_18_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (59) op(e3, e3) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e1) | ( ~
% 158.60/22.90 | (all_20_0 = e0) & op(e3, e1) = all_20_0 & $i(all_20_0)) | ( ~
% 158.60/22.90 | (all_20_1 = e2) & op(e1, e1) = all_20_1 & $i(all_20_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (59) implies:
% 158.60/22.90 | (60) op(e3, e3) = all_20_2
% 158.60/22.90 | (61) ~ (all_20_2 = e1) | ( ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 158.60/22.90 | $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 158.60/22.90 | $i(all_20_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (62) op(e0, e0) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e1) | ( ~
% 158.60/22.90 | (all_22_0 = e2) & op(e0, e1) = all_22_0 & $i(all_22_0)) | ( ~
% 158.60/22.90 | (all_22_1 = e3) & op(e1, e1) = all_22_1 & $i(all_22_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (62) implies:
% 158.60/22.90 | (63) op(e0, e0) = all_22_2
% 158.60/22.90 | (64) ~ (all_22_2 = e1) | ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 158.60/22.90 | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 158.60/22.90 | $i(all_22_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (65) op(e1, e1) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e2) | ( ~
% 158.60/22.90 | (all_24_0 = e3) & op(e1, e2) = all_24_0 & $i(all_24_0)) | ( ~
% 158.60/22.90 | (all_24_1 = e0) & op(e2, e2) = all_24_1 & $i(all_24_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (65) implies:
% 158.60/22.90 | (66) op(e1, e1) = all_24_2
% 158.60/22.90 | (67) ~ (all_24_2 = e2) | ( ~ (all_24_0 = e3) & op(e1, e2) = all_24_0 &
% 158.60/22.90 | $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e2, e2) = all_24_1 &
% 158.60/22.90 | $i(all_24_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (68) op(e1, e1) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e3) | ( ~
% 158.60/22.90 | (all_26_0 = e0) & op(e1, e3) = all_26_0 & $i(all_26_0)) | ( ~
% 158.60/22.90 | (all_26_1 = e2) & op(e3, e3) = all_26_1 & $i(all_26_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (68) implies:
% 158.60/22.90 | (69) op(e1, e1) = all_26_2
% 158.60/22.90 | (70) ~ (all_26_2 = e3) | ( ~ (all_26_0 = e0) & op(e1, e3) = all_26_0 &
% 158.60/22.90 | $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e3, e3) = all_26_1 &
% 158.60/22.90 | $i(all_26_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (71) op(e2, e2) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e0) | ( ~
% 158.60/22.90 | (all_28_0 = e1) & op(e2, e0) = all_28_0 & $i(all_28_0)) | ( ~
% 158.60/22.90 | (all_28_1 = e3) & op(e0, e0) = all_28_1 & $i(all_28_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (71) implies:
% 158.60/22.90 | (72) op(e2, e2) = all_28_2
% 158.60/22.90 | (73) ~ (all_28_2 = e0) | ( ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 158.60/22.90 | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e0, e0) = all_28_1 &
% 158.60/22.90 | $i(all_28_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (74) op(e3, e3) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e1) | ( ~
% 158.60/22.90 | (all_30_0 = e2) & op(e3, e1) = all_30_0 & $i(all_30_0)) | ( ~
% 158.60/22.90 | (all_30_1 = e0) & op(e1, e1) = all_30_1 & $i(all_30_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (74) implies:
% 158.60/22.90 | (75) op(e3, e3) = all_30_2
% 158.60/22.90 | (76) ~ (all_30_2 = e1) | ( ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 158.60/22.90 | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e1, e1) = all_30_1 &
% 158.60/22.90 | $i(all_30_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (77) op(e0, e0) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e2) | ( ~
% 158.60/22.90 | (all_32_0 = e3) & op(e0, e2) = all_32_0 & $i(all_32_0)) | ( ~
% 158.60/22.90 | (all_32_1 = e1) & op(e2, e2) = all_32_1 & $i(all_32_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (77) implies:
% 158.60/22.90 | (78) op(e0, e0) = all_32_2
% 158.60/22.90 | (79) ~ (all_32_2 = e2) | ( ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 158.60/22.90 | $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e2, e2) = all_32_1 &
% 158.60/22.90 | $i(all_32_1))
% 158.60/22.90 |
% 158.60/22.90 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 158.60/22.90 | gives:
% 158.60/22.90 | (80) op(e2, e2) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e1) | ( ~
% 158.60/22.90 | (all_34_0 = e0) & op(e2, e1) = all_34_0 & $i(all_34_0)) | ( ~
% 158.60/22.90 | (all_34_1 = e3) & op(e1, e1) = all_34_1 & $i(all_34_1)))
% 158.60/22.90 |
% 158.60/22.90 | ALPHA: (80) implies:
% 158.60/22.90 | (81) op(e2, e2) = all_34_2
% 158.60/22.91 | (82) ~ (all_34_2 = e1) | ( ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 158.60/22.91 | $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e1, e1) = all_34_1 &
% 158.60/22.91 | $i(all_34_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (83) op(e0, e0) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e2) | ( ~
% 158.60/22.91 | (all_36_0 = e1) & op(e0, e2) = all_36_0 & $i(all_36_0)) | ( ~
% 158.60/22.91 | (all_36_1 = e3) & op(e2, e2) = all_36_1 & $i(all_36_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (83) implies:
% 158.60/22.91 | (84) op(e0, e0) = all_36_2
% 158.60/22.91 | (85) ~ (all_36_2 = e2) | ( ~ (all_36_0 = e1) & op(e0, e2) = all_36_0 &
% 158.60/22.91 | $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e2, e2) = all_36_1 &
% 158.60/22.91 | $i(all_36_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (86) op(e0, e0) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e1) | ( ~
% 158.60/22.91 | (all_38_0 = e3) & op(e0, e1) = all_38_0 & $i(all_38_0)) | ( ~
% 158.60/22.91 | (all_38_1 = e2) & op(e1, e1) = all_38_1 & $i(all_38_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (86) implies:
% 158.60/22.91 | (87) op(e0, e0) = all_38_2
% 158.60/22.91 | (88) ~ (all_38_2 = e1) | ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 158.60/22.91 | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 158.60/22.91 | $i(all_38_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (89) op(e3, e3) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e2) | ( ~
% 158.60/22.91 | (all_40_0 = e1) & op(e3, e2) = all_40_0 & $i(all_40_0)) | ( ~
% 158.60/22.91 | (all_40_1 = e0) & op(e2, e2) = all_40_1 & $i(all_40_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (89) implies:
% 158.60/22.91 | (90) op(e3, e3) = all_40_2
% 158.60/22.91 | (91) ~ (all_40_2 = e2) | ( ~ (all_40_0 = e1) & op(e3, e2) = all_40_0 &
% 158.60/22.91 | $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e2, e2) = all_40_1 &
% 158.60/22.91 | $i(all_40_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (92) op(e1, e1) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e3) | ( ~
% 158.60/22.91 | (all_42_0 = e2) & op(e1, e3) = all_42_0 & $i(all_42_0)) | ( ~
% 158.60/22.91 | (all_42_1 = e0) & op(e3, e3) = all_42_1 & $i(all_42_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (92) implies:
% 158.60/22.91 | (93) op(e1, e1) = all_42_2
% 158.60/22.91 | (94) ~ (all_42_2 = e3) | ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 158.60/22.91 | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 158.60/22.91 | $i(all_42_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (95) op(e1, e1) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e2) | ( ~
% 158.60/22.91 | (all_44_0 = e0) & op(e1, e2) = all_44_0 & $i(all_44_0)) | ( ~
% 158.60/22.91 | (all_44_1 = e3) & op(e2, e2) = all_44_1 & $i(all_44_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (95) implies:
% 158.60/22.91 | (96) op(e1, e1) = all_44_2
% 158.60/22.91 | (97) ~ (all_44_2 = e2) | ( ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 158.60/22.91 | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e2, e2) = all_44_1 &
% 158.60/22.91 | $i(all_44_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (98) op(e2, e2) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e3) | ( ~
% 158.60/22.91 | (all_46_0 = e1) & op(e2, e3) = all_46_0 & $i(all_46_0)) | ( ~
% 158.60/22.91 | (all_46_1 = e0) & op(e3, e3) = all_46_1 & $i(all_46_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (98) implies:
% 158.60/22.91 | (99) op(e2, e2) = all_46_2
% 158.60/22.91 | (100) ~ (all_46_2 = e3) | ( ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 158.60/22.91 | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e3, e3) = all_46_1 &
% 158.60/22.91 | $i(all_46_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (101) op(e3, e3) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e0) | ( ~
% 158.60/22.91 | (all_48_0 = e2) & op(e3, e0) = all_48_0 & $i(all_48_0)) | ( ~
% 158.60/22.91 | (all_48_1 = e1) & op(e0, e0) = all_48_1 & $i(all_48_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (101) implies:
% 158.60/22.91 | (102) op(e3, e3) = all_48_2
% 158.60/22.91 | (103) ~ (all_48_2 = e0) | ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 158.60/22.91 | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 158.60/22.91 | $i(all_48_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 158.60/22.91 | gives:
% 158.60/22.91 | (104) op(e2, e2) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e0) | ( ~
% 158.60/22.91 | (all_50_0 = e3) & op(e2, e0) = all_50_0 & $i(all_50_0)) | ( ~
% 158.60/22.91 | (all_50_1 = e1) & op(e0, e0) = all_50_1 & $i(all_50_1)))
% 158.60/22.91 |
% 158.60/22.91 | ALPHA: (104) implies:
% 158.60/22.91 | (105) op(e2, e2) = all_50_2
% 158.60/22.91 | (106) ~ (all_50_2 = e0) | ( ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 158.60/22.91 | $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e0, e0) = all_50_1 &
% 158.60/22.91 | $i(all_50_1))
% 158.60/22.91 |
% 158.60/22.91 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 158.60/22.91 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 158.60/22.91 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 158.60/22.92 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 158.60/22.92 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 158.60/22.92 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 158.60/22.92 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 158.60/22.92 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 158.60/22.92 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 158.60/22.92 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 158.60/22.92 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 158.60/22.92 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 158.60/22.92 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 158.60/22.92 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 158.60/22.92 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 158.60/22.92 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 158.60/22.92 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 158.60/22.92 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 158.60/22.92 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 158.60/22.92 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 158.60/22.92 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 158.60/22.92 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 158.60/22.92 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 158.60/22.92 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 158.60/22.92 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 158.60/22.92 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 158.60/22.92 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 158.60/22.92 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 158.60/22.92 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 158.60/22.92 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 158.60/22.92 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 158.60/22.92 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 158.60/22.92 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 158.60/22.92 |
% 158.60/22.92 | ALPHA: (107) implies:
% 158.60/22.92 | (108) ~ (all_52_14 = all_52_15)
% 158.60/22.92 | (109) ~ (all_52_13 = all_52_15)
% 158.60/22.92 | (110) ~ (all_52_13 = all_52_14)
% 158.60/22.92 | (111) ~ (all_52_12 = all_52_15)
% 158.60/22.92 | (112) ~ (all_52_12 = all_52_14)
% 158.60/22.92 | (113) ~ (all_52_12 = all_52_13)
% 158.60/22.92 | (114) ~ (all_52_11 = all_52_15)
% 158.60/22.92 | (115) ~ (all_52_10 = all_52_14)
% 158.60/22.92 | (116) ~ (all_52_10 = all_52_11)
% 158.60/22.92 | (117) ~ (all_52_9 = all_52_13)
% 158.60/22.92 | (118) ~ (all_52_9 = all_52_11)
% 158.60/22.92 | (119) ~ (all_52_9 = all_52_10)
% 158.60/22.92 | (120) ~ (all_52_8 = all_52_12)
% 158.60/22.92 | (121) ~ (all_52_8 = all_52_11)
% 158.60/22.92 | (122) ~ (all_52_8 = all_52_10)
% 158.60/22.92 | (123) ~ (all_52_8 = all_52_9)
% 158.60/22.92 | (124) ~ (all_52_7 = all_52_15)
% 158.60/22.92 | (125) ~ (all_52_7 = all_52_11)
% 158.60/22.92 | (126) ~ (all_52_6 = all_52_14)
% 158.60/22.92 | (127) ~ (all_52_6 = all_52_10)
% 158.60/22.92 | (128) ~ (all_52_6 = all_52_7)
% 158.60/22.92 | (129) ~ (all_52_5 = all_52_13)
% 158.60/22.92 | (130) ~ (all_52_5 = all_52_9)
% 158.60/22.92 | (131) ~ (all_52_5 = all_52_7)
% 158.60/22.92 | (132) ~ (all_52_5 = all_52_6)
% 158.60/22.92 | (133) ~ (all_52_4 = all_52_12)
% 158.60/22.92 | (134) ~ (all_52_4 = all_52_8)
% 158.60/22.92 | (135) ~ (all_52_4 = all_52_7)
% 158.60/22.92 | (136) ~ (all_52_4 = all_52_6)
% 158.60/22.92 | (137) ~ (all_52_4 = all_52_5)
% 158.60/22.92 | (138) ~ (all_52_3 = all_52_15)
% 158.60/22.92 | (139) ~ (all_52_3 = all_52_11)
% 158.60/22.92 | (140) ~ (all_52_3 = all_52_7)
% 158.60/22.92 | (141) ~ (all_52_2 = all_52_14)
% 158.60/22.92 | (142) ~ (all_52_2 = all_52_10)
% 158.60/22.92 | (143) ~ (all_52_2 = all_52_6)
% 158.60/22.92 | (144) ~ (all_52_2 = all_52_3)
% 158.60/22.92 | (145) ~ (all_52_1 = all_52_13)
% 158.60/22.92 | (146) ~ (all_52_1 = all_52_9)
% 158.60/22.92 | (147) ~ (all_52_1 = all_52_5)
% 158.60/22.92 | (148) ~ (all_52_1 = all_52_3)
% 158.60/22.92 | (149) ~ (all_52_1 = all_52_2)
% 158.60/22.92 | (150) ~ (all_52_0 = all_52_12)
% 158.60/22.92 | (151) ~ (all_52_0 = all_52_8)
% 158.92/22.92 | (152) ~ (all_52_0 = all_52_4)
% 158.92/22.92 | (153) ~ (all_52_0 = all_52_3)
% 158.92/22.92 | (154) ~ (all_52_0 = all_52_2)
% 158.92/22.92 | (155) ~ (all_52_0 = all_52_1)
% 158.92/22.92 | (156) op(e0, e0) = all_52_15
% 158.92/22.92 | (157) op(e0, e1) = all_52_11
% 158.92/22.92 | (158) op(e0, e2) = all_52_7
% 158.92/22.92 | (159) op(e0, e3) = all_52_3
% 158.92/22.92 | (160) op(e1, e0) = all_52_14
% 158.92/22.92 | (161) op(e1, e1) = all_52_10
% 158.92/22.92 | (162) op(e1, e2) = all_52_6
% 158.92/22.92 | (163) op(e1, e3) = all_52_2
% 158.92/22.92 | (164) op(e2, e0) = all_52_13
% 158.92/22.92 | (165) op(e2, e1) = all_52_9
% 158.92/22.92 | (166) op(e2, e2) = all_52_5
% 158.92/22.92 | (167) op(e2, e3) = all_52_1
% 158.92/22.92 | (168) op(e3, e0) = all_52_12
% 158.92/22.92 | (169) op(e3, e1) = all_52_8
% 158.92/22.92 | (170) op(e3, e2) = all_52_4
% 158.92/22.92 | (171) op(e3, e3) = all_52_0
% 158.92/22.92 |
% 158.92/22.92 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 158.92/22.92 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 158.92/22.92 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 158.92/22.93 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 158.92/22.93 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 158.92/22.93 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 158.92/22.93 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 158.92/22.93 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 158.92/22.93 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 158.92/22.93 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 158.92/22.93 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 158.92/22.93 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 158.92/22.93 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 158.92/22.93 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 158.92/22.93 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 158.92/22.93 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 158.92/22.93 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 158.92/22.93 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 158.92/22.93 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 158.92/22.93 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 158.92/22.93 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 158.92/22.93 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 158.92/22.93 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 158.92/22.93 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 158.92/22.93 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 158.92/22.93 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 158.92/22.93 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 158.92/22.93 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 158.92/22.93 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 158.92/22.93 |
% 158.92/22.93 | ALPHA: (172) implies:
% 158.92/22.93 | (173) op(e0, e0) = all_54_15
% 158.92/22.93 | (174) op(e0, e1) = all_54_14
% 158.92/22.93 | (175) op(e0, e2) = all_54_13
% 158.92/22.93 | (176) op(e0, e3) = all_54_12
% 158.92/22.93 | (177) op(e1, e0) = all_54_11
% 158.92/22.93 | (178) op(e1, e1) = all_54_10
% 158.92/22.93 | (179) op(e1, e2) = all_54_9
% 158.92/22.93 | (180) op(e1, e3) = all_54_8
% 158.92/22.93 | (181) op(e2, e0) = all_54_7
% 158.92/22.93 | (182) op(e2, e1) = all_54_6
% 158.92/22.93 | (183) op(e2, e2) = all_54_5
% 158.92/22.93 | (184) op(e2, e3) = all_54_4
% 158.92/22.93 | (185) op(e3, e0) = all_54_3
% 158.92/22.93 | (186) op(e3, e1) = all_54_2
% 158.92/22.93 | (187) op(e3, e2) = all_54_1
% 158.92/22.93 | (188) op(e3, e3) = all_54_0
% 158.92/22.93 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 158.92/22.93 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 158.92/22.93 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 158.92/22.93 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 158.92/22.93 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 158.92/22.93 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.92/22.93 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 158.92/22.93 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.92/22.93 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 158.92/22.93 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 158.92/22.93 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 158.92/22.93 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 158.92/22.93 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 158.92/22.93 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 158.92/22.93 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 158.92/22.93 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 158.92/22.93 |
% 158.92/22.93 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 158.92/22.93 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 158.92/22.93 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 158.92/22.94 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 158.92/22.94 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 158.92/22.94 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 158.92/22.94 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 158.92/22.94 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 158.92/22.94 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 158.92/22.94 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 158.92/22.94 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 158.92/22.94 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 158.92/22.94 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 158.92/22.94 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 158.92/22.94 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 158.92/22.94 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 158.92/22.94 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 158.92/22.94 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 158.92/22.94 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 158.92/22.94 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 158.92/22.94 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 158.92/22.94 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 158.92/22.94 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 158.92/22.94 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 158.92/22.94 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 158.92/22.94 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 158.92/22.94 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 158.92/22.94 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 158.92/22.94 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 158.92/22.94 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 158.92/22.94 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 158.92/22.94 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 158.92/22.94 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 158.92/22.94 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 158.92/22.94 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 158.92/22.94 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 158.92/22.94 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 158.92/22.94 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 158.92/22.94 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 158.92/22.94 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 158.92/22.94 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 158.92/22.94 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 158.92/22.94 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 158.92/22.94 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 158.92/22.94 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 158.92/22.94 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 158.92/22.94 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 158.92/22.94 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 158.92/22.94 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 158.92/22.94 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 158.92/22.94 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 158.92/22.94 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 158.92/22.94 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 158.92/22.94 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 158.92/22.94 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 158.92/22.94 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 158.92/22.94 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 158.92/22.94 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 158.92/22.94 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 158.92/22.94 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 158.92/22.94 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 158.92/22.94 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 158.92/22.94 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 158.92/22.94 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 158.92/22.94 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 158.92/22.94 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 158.92/22.94 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 158.92/22.94 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 158.92/22.94 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 158.92/22.94 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 158.92/22.94 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 158.92/22.94 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 158.92/22.94 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 158.92/22.94 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 158.92/22.94 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 158.92/22.94 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 158.92/22.94 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 158.92/22.94 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 158.92/22.94 |
% 158.92/22.94 | ALPHA: (205) implies:
% 158.92/22.94 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 158.92/22.94 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 158.92/22.94 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 158.92/22.94 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 158.92/22.94 | = e0)))
% 158.92/22.94 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 158.92/22.94 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 158.92/22.94 | e0) = e1)
% 158.92/22.94 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 158.92/22.94 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 158.92/22.94 | e0) = e2)
% 158.92/22.94 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 158.92/22.94 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 158.92/22.94 | e0) = e3)
% 158.92/22.94 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 158.92/22.94 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 158.92/22.94 | e0) = e1)
% 158.92/22.94 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 158.92/22.94 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 158.92/22.94 | e0) = e2)
% 158.92/22.95 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 158.92/22.95 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 158.92/22.95 | e0) = e3)
% 158.92/22.95 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 158.92/22.95 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 158.92/22.95 | e0)
% 158.92/22.95 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 158.92/22.95 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 158.92/22.95 | e1)
% 158.92/22.95 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 158.92/22.95 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 158.92/22.95 | e2)
% 158.92/22.95 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 158.92/22.95 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 158.92/22.95 | e3)
% 158.92/22.95 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 158.92/22.95 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 158.92/22.95 | e0)
% 158.92/22.95 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 158.92/22.95 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 158.92/22.95 | e1)
% 158.92/22.95 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 158.92/22.95 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 158.92/22.95 | e2)
% 158.92/22.95 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 158.92/22.95 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 158.92/22.95 | e3)
% 158.92/22.95 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 158.92/22.95 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 158.92/22.95 | e0)
% 158.92/22.95 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 158.92/22.95 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 158.92/22.95 | e1)
% 158.92/22.95 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 158.92/22.95 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 158.92/22.95 | e2)
% 158.92/22.95 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 158.92/22.95 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 158.92/22.95 | e3)
% 158.92/22.95 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 158.92/22.95 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 158.92/22.95 | e0)
% 158.92/22.95 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 158.92/22.95 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 158.92/22.95 | e1)
% 158.92/22.95 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 158.92/22.95 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 158.92/22.95 | e2)
% 158.92/22.95 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 158.92/22.95 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 158.92/22.95 | e3)
% 158.92/22.95 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 158.92/22.95 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 158.92/22.95 | e0)
% 158.92/22.95 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 158.92/22.95 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 158.92/22.95 | e0)
% 158.92/22.95 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 158.92/22.95 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 158.92/22.95 | e1)
% 158.92/22.95 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 158.92/22.95 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 158.92/22.95 | e1)
% 158.92/22.95 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 158.92/22.95 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 158.92/22.95 | e2)
% 158.92/22.95 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 158.92/22.95 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 158.92/22.95 | e2)
% 158.92/22.95 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 158.92/22.95 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 158.92/22.95 | e3)
% 158.92/22.96 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 158.92/22.96 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 158.92/22.96 | e3)
% 158.92/22.96 |
% 158.92/22.96 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 158.92/22.96 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 158.92/22.96 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15 gives:
% 158.92/22.97 | (237) ((all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 = e2) & op(e3, e2) =
% 158.92/22.97 | e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 & $i(all_57_12) & (
% 158.92/22.97 | ~ (all_57_12 = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 158.92/22.97 | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 = e0) | ( ~
% 158.92/22.97 | (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))))
% 158.92/22.97 | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 = e3) & op(e3, e3)
% 158.92/22.97 | = all_57_10 & op(e3, e2) = e2 & op(e2, e3) = e2 & $i(all_57_10) &
% 158.92/22.97 | ( ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 158.92/22.97 | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 = e0) | ( ~
% 158.92/22.97 | (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & (
% 158.92/22.97 | ~ (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2) = all_57_10)))
% 158.92/22.97 | | (all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 = e1) & op(e3, e1)
% 158.92/22.97 | = e3 & op(e1, e3) = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 158.92/22.97 | ( ~ (all_57_14 = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 158.92/22.97 | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 158.92/22.97 | (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 158.92/22.97 | | (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 = e3) & op(e3, e3)
% 158.92/22.97 | = all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 & $i(all_57_10) &
% 158.92/22.97 | ( ~ (all_57_10 = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 158.92/22.97 | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 158.92/22.97 | (all_57_9 = e3) & op(e3, e0) = all_57_9 & $i(all_57_9))) & (
% 158.92/22.97 | ~ (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 158.92/22.97 | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 = e0) & op(e3, e0)
% 158.92/22.97 | = e3 & op(e0, e3) = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) &
% 158.92/22.97 | ( ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 158.92/22.97 | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 158.92/22.97 | (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 158.92/22.97 | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 158.92/22.97 | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 & $i(all_57_10) & (
% 158.92/22.97 | ~ (all_57_10 = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 158.92/22.97 | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 158.92/22.97 | (all_57_6 = e3) & op(e3, e1) = all_57_6 & $i(all_57_6))) & (
% 158.92/22.97 | ~ (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 158.92/22.97 | | (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 = e1) & op(e2, e1)
% 158.92/22.97 | = e2 & op(e1, e2) = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) &
% 158.92/22.97 | ( ~ (all_57_14 = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 158.92/22.97 | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 = e0) | ( ~
% 158.92/22.97 | (all_57_13 = e1) & op(e1, e0) = all_57_13 & $i(all_57_13))))
% 158.92/22.97 | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 = e2) & op(e2, e2)
% 158.92/22.97 | = all_57_12 & op(e2, e1) = e1 & op(e1, e2) = e1 & $i(all_57_12) &
% 158.92/22.97 | ( ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 158.92/22.97 | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 = e0) | ( ~
% 158.92/22.97 | (all_57_11 = e2) & op(e2, e0) = all_57_11 & $i(all_57_11))) &
% 158.92/22.97 | ( ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12)))
% 158.92/22.97 | | (all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 158.92/22.97 | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) = all_57_15 &
% 158.92/22.97 | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 158.92/22.97 | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 = e1)
% 158.92/22.97 | | ( ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 & $i(all_57_8))))
% 158.92/22.97 | | (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 = e2) & op(e2,
% 158.92/22.97 | e2) = all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 158.92/22.97 | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 158.92/22.97 | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 = e1)
% 158.92/22.97 | | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 & $i(all_57_7)))
% 158.92/22.97 | & ( ~ (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0) =
% 158.92/22.97 | all_57_12))) | (all_57_8 = e1 & all_57_13 = e1 & ~
% 158.92/22.97 | (all_57_15 = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0, e0)
% 158.92/22.97 | = all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 158.92/22.97 | (all_57_2 = e0) & op(e0, e3) = all_57_2 & $i(all_57_2))) & (
% 158.92/22.97 | ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 158.92/22.97 | all_57_5 & $i(all_57_5)))) | (all_57_8 = e0 & all_57_13 = e0
% 158.92/22.97 | & ~ (all_57_14 = e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 158.92/22.97 | & op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 158.92/22.97 | (all_57_1 = e1) & op(e1, e3) = all_57_1 & $i(all_57_1))) & (
% 158.92/22.97 | ~ (all_57_14 = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 158.92/22.97 | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | ( ~ (all_57_14 =
% 158.92/22.97 | e0) & op(e0, e0) = all_57_14)))) & ((all_57_0 = e2 &
% 158.92/22.97 | all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e2, e3) = e2 &
% 158.92/22.97 | op(e2, e2) = e3 & $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 158.92/22.97 | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 158.92/22.97 | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3) = e0) | ( ~
% 158.92/22.97 | (all_57_15 = e3) & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 158.92/22.97 | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e1,
% 158.92/22.97 | e3) = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_0 = e2 &
% 158.92/22.97 | op(e2, e3) = e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 158.92/22.97 | all_57_12 & $i(all_57_12))) & ((all_57_2 = e0 & op(e0, e3) =
% 158.92/22.97 | e0) | ( ~ (all_57_15 = e3) & op(e0, e0) = all_57_15 &
% 158.92/22.97 | $i(all_57_15)))) | (all_57_3 = e3 & all_57_10 = e2 & op(e3,
% 158.92/22.97 | e3) = e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 158.92/22.97 | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 158.92/22.97 | (all_57_14 = e2) & op(e1, e1) = all_57_14 & $i(all_57_14))) &
% 158.92/22.97 | ((all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2) &
% 158.92/22.97 | op(e0, e0) = all_57_15 & $i(all_57_15)))) | (all_57_4 = e1 &
% 158.92/22.97 | all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e1, e2) = e1 &
% 158.92/22.97 | op(e1, e1) = e2 & $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 158.92/22.97 | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 158.92/22.97 | $i(all_57_10))) & ((all_57_5 = e0 & op(e0, e2) = e0) | ( ~
% 158.92/22.97 | (all_57_15 = e2) & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 158.92/22.97 | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) =
% 158.92/22.97 | e3 & op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_7 = e2 &
% 158.92/22.97 | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 158.92/22.97 | all_57_12 & $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1) =
% 158.92/22.97 | e0) | ( ~ (all_57_15 = e1) & op(e0, e0) = all_57_15 &
% 158.92/22.97 | $i(all_57_15)))) | (all_57_7 = e2 & all_57_12 = e1 & op(e2,
% 158.92/22.97 | e2) = e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 158.92/22.97 | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 158.92/22.97 | (all_57_10 = e1) & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 158.92/22.97 | ((all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1) &
% 158.92/22.97 | op(e0, e0) = all_57_15 & $i(all_57_15)))) | (all_57_9 = e3 &
% 158.92/22.97 | all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 & op(e0, e0) =
% 158.92/22.97 | all_57_15 & $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) = e2) |
% 158.92/22.97 | ( ~ (all_57_12 = e0) & op(e2, e2) = all_57_12 & $i(all_57_12)))
% 158.92/22.97 | & ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 158.92/22.97 | op(e1, e1) = all_57_14 & $i(all_57_14)))) | (all_57_10 = e3 &
% 158.92/22.97 | op(e3, e3) = e3 & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 158.92/22.97 | (all_57_12 = e3) & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 158.92/22.97 | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 158.92/22.97 | op(e1, e1) = all_57_14 & $i(all_57_14))) & ((all_57_2 = e0 &
% 158.92/22.97 | op(e0, e3) = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 158.92/22.97 | all_57_15 & $i(all_57_15)))) | (all_57_11 = e2 & all_57_12 =
% 158.92/22.97 | e0 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 158.92/22.97 | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 158.92/22.97 | (all_57_10 = e0) & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 158.92/22.97 | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 158.92/22.97 | op(e1, e1) = all_57_14 & $i(all_57_14)))) | (all_57_12 = e2 &
% 158.92/22.97 | op(e2, e2) = e2 & ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 158.92/22.97 | (all_57_10 = e2) & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 158.92/22.97 | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 158.92/22.97 | op(e1, e1) = all_57_14 & $i(all_57_14))) & ((all_57_5 = e0 &
% 158.92/22.97 | op(e0, e2) = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 158.92/22.97 | all_57_15 & $i(all_57_15)))) | (all_57_14 = e1 & op(e1, e1) =
% 158.92/22.97 | e1 & ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 158.92/22.97 | op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_7 = e2 &
% 158.92/22.97 | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 158.92/22.97 | all_57_12 & $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1) =
% 158.92/22.97 | e0) | ( ~ (all_57_15 = e1) & op(e0, e0) = all_57_15 &
% 158.92/22.97 | $i(all_57_15)))) | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 158.92/22.97 | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) = all_57_10 &
% 158.92/22.97 | op(e0, e3) = e0 & $i(all_57_10) & ((all_57_0 = e2 & op(e2,
% 158.92/22.97 | e3) = e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 158.92/22.97 | all_57_12 & $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 158.92/22.97 | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 158.92/22.97 | all_57_14 & $i(all_57_14)))) | (all_57_5 = e0 & all_57_15
% 158.92/22.97 | = e2 & op(e2, e2) = all_57_12 & op(e0, e2) = e0 &
% 158.92/22.97 | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 158.92/22.97 | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 158.92/22.97 | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2) = e1) | (
% 158.92/22.97 | ~ (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 158.92/22.97 | $i(all_57_14)))) | (all_57_8 = e0 & all_57_15 = e1 &
% 158.92/22.97 | op(e1, e1) = all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 158.92/22.97 | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 158.92/22.97 | op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_7 =
% 158.92/22.97 | e2 & op(e2, e1) = e2) | ( ~ (all_57_12 = e1) & op(e2, e2)
% 158.92/22.97 | = all_57_12 & $i(all_57_12)))) | (all_57_13 = e1 &
% 158.92/22.97 | all_57_14 = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 &
% 158.92/22.97 | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 158.92/22.97 | op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 158.92/22.97 | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) & op(e2, e2)
% 158.92/22.97 | = all_57_12 & $i(all_57_12)))) | (all_57_15 = e0 &
% 158.92/22.97 | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 158.92/22.97 | op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 158.92/22.97 | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) & op(e2, e2)
% 158.92/22.97 | = all_57_12 & $i(all_57_12))) & ((all_57_13 = e1 & op(e1,
% 158.92/22.97 | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1, e1) =
% 158.92/22.97 | all_57_14 & $i(all_57_14)))))))
% 158.92/22.97 |
% 158.92/22.97 | ALPHA: (237) implies:
% 159.15/22.98 | (238) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) = all_57_10 & op(e2, e3)
% 159.15/22.98 | = e2 & op(e2, e2) = e3 & $i(all_57_10) & ((all_57_1 = e1 & op(e1,
% 159.15/22.98 | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 159.15/22.98 | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e3) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) = all_57_10 & op(e1, e3)
% 159.15/22.98 | = e1 & op(e1, e1) = e3 & $i(all_57_10) & ((all_57_0 = e2 & op(e2,
% 159.15/22.98 | e3) = e2) | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12))) & ((all_57_2 = e0 & op(e0, e3) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e3) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 & op(e3, e2) = e3 &
% 159.15/22.98 | op(e2, e2) = all_57_12 & $i(all_57_12) & ((all_57_4 = e1 & op(e1,
% 159.15/22.98 | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 159.15/22.98 | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e2) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) = all_57_12 & op(e1, e2)
% 159.15/22.98 | = e1 & op(e1, e1) = e2 & $i(all_57_12) & ((all_57_3 = e3 & op(e3,
% 159.15/22.98 | e2) = e3) | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 159.15/22.98 | $i(all_57_10))) & ((all_57_5 = e0 & op(e0, e2) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e2) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 & op(e3, e1) = e3 &
% 159.15/22.98 | op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_7 = e2 & op(e2,
% 159.15/22.98 | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e1) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 & op(e2, e1) = e2 &
% 159.15/22.98 | op(e1, e1) = all_57_14 & $i(all_57_14) & ((all_57_6 = e3 & op(e3,
% 159.15/22.98 | e1) = e3) | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 159.15/22.98 | $i(all_57_10))) & ((all_57_8 = e0 & op(e0, e1) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e1) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 & op(e3, e0) = e3 &
% 159.15/22.98 | op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_11 = e2 & op(e2,
% 159.15/22.98 | e0) = e2) | ( ~ (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12))) & ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 159.15/22.98 | (all_57_14 = e0) & op(e1, e1) = all_57_14 & $i(all_57_14)))) |
% 159.15/22.98 | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2 & op(e2, e3) =
% 159.15/22.98 | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 159.15/22.98 | (all_57_14 = e3) & op(e1, e1) = all_57_14 & $i(all_57_14))) &
% 159.15/22.98 | ((all_57_2 = e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 159.15/22.98 | e0) = all_57_15 & $i(all_57_15)))) | (all_57_11 = e2 &
% 159.15/22.98 | all_57_12 = e0 & op(e2, e2) = e0 & op(e2, e0) = e2 & op(e0, e0) =
% 159.15/22.98 | all_57_15 & $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3) | (
% 159.15/22.98 | ~ (all_57_10 = e0) & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 159.15/22.98 | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 159.15/22.98 | e1) = all_57_14 & $i(all_57_14)))) | (all_57_12 = e2 & op(e2,
% 159.15/22.98 | e2) = e2 & ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~ (all_57_10 =
% 159.15/22.98 | e2) & op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_4 =
% 159.15/22.98 | e1 & op(e1, e2) = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 159.15/22.98 | all_57_14 & $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2) =
% 159.15/22.98 | e0) | ( ~ (all_57_15 = e2) & op(e0, e0) = all_57_15 &
% 159.15/22.98 | $i(all_57_15)))) | (all_57_14 = e1 & op(e1, e1) = e1 &
% 159.15/22.98 | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) & op(e3,
% 159.15/22.98 | e3) = all_57_10 & $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 159.15/22.98 | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1) = e0) | ( ~
% 159.15/22.98 | (all_57_15 = e1) & op(e0, e0) = all_57_15 & $i(all_57_15)))) |
% 159.15/22.98 | (op(e0, e0) = all_57_15 & $i(all_57_15) & ((all_57_2 = e0 & all_57_15
% 159.15/22.98 | = e3 & op(e3, e3) = all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 159.15/22.98 | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 159.15/22.98 | op(e2, e2) = all_57_12 & $i(all_57_12))) & ((all_57_1 = e1
% 159.15/22.98 | & op(e1, e3) = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 159.15/22.98 | all_57_14 & $i(all_57_14)))) | (all_57_5 = e0 & all_57_15 =
% 159.15/22.98 | e2 & op(e2, e2) = all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 159.15/22.98 | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 159.15/22.98 | op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_4 = e1
% 159.15/22.98 | & op(e1, e2) = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 159.15/22.98 | all_57_14 & $i(all_57_14)))) | (all_57_8 = e0 & all_57_15 =
% 159.15/22.98 | e1 & op(e1, e1) = all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 159.15/22.98 | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 159.15/22.98 | op(e3, e3) = all_57_10 & $i(all_57_10))) & ((all_57_7 = e2
% 159.15/22.98 | & op(e2, e1) = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 159.15/22.98 | all_57_12 & $i(all_57_12)))) | (all_57_13 = e1 & all_57_14
% 159.15/22.98 | = e0 & op(e1, e1) = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 159.15/22.98 | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 159.15/22.98 | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2 & op(e2, e0)
% 159.15/22.98 | = e2) | ( ~ (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12)))) | (all_57_15 = e0 & ((all_57_9 = e3 &
% 159.15/22.98 | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 159.15/22.98 | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2 & op(e2, e0)
% 159.15/22.98 | = e2) | ( ~ (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 159.15/22.98 | $i(all_57_12))) & ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 159.15/22.98 | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 159.15/22.98 | $i(all_57_14))))))
% 159.15/22.99 | (239) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 = e2) & op(e3, e2) =
% 159.15/22.99 | e3 & op(e2, e3) = e3 & op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 159.15/22.99 | (all_57_12 = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 159.15/22.99 | $i(all_57_7))) & ( ~ (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.15/22.99 | op(e2, e0) = all_57_11 & $i(all_57_11)))) | (all_57_0 = e2 &
% 159.15/22.99 | all_57_3 = e2 & ~ (all_57_10 = e3) & op(e3, e3) = all_57_10 &
% 159.15/22.99 | op(e3, e2) = e2 & op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10
% 159.15/22.99 | = e1) | ( ~ (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 159.15/22.99 | $i(all_57_6))) & ( ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.15/22.99 | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | ( ~
% 159.15/22.99 | (all_57_10 = e2) & op(e2, e2) = all_57_10))) | (all_57_1 = e3 &
% 159.15/22.99 | all_57_6 = e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 159.15/22.99 | = e3 & op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14 =
% 159.15/22.99 | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 159.15/22.99 | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 159.15/22.99 | op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_1 = e1 &
% 159.15/22.99 | all_57_6 = e1 & ~ (all_57_10 = e3) & op(e3, e3) = all_57_10 &
% 159.15/22.99 | op(e3, e1) = e1 & op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10
% 159.15/22.99 | = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 159.15/22.99 | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.15/22.99 | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 159.15/22.99 | (all_57_10 = e1) & op(e1, e1) = all_57_10))) | (all_57_2 = e3 &
% 159.15/22.99 | all_57_9 = e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 159.15/22.99 | = e3 & op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15 =
% 159.15/22.99 | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 159.15/22.99 | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 159.15/22.99 | op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_2 = e0 &
% 159.15/22.99 | all_57_9 = e0 & ~ (all_57_10 = e3) & op(e3, e3) = all_57_10 &
% 159.15/22.99 | op(e3, e0) = e0 & op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10
% 159.15/22.99 | = e2) | ( ~ (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 159.15/22.99 | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.15/22.99 | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 159.15/22.99 | (all_57_10 = e0) & op(e0, e0) = all_57_10))) | (all_57_4 = e2 &
% 159.15/22.99 | all_57_7 = e2 & ~ (all_57_14 = e1) & op(e2, e1) = e2 & op(e1, e2)
% 159.15/22.99 | = e2 & op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14 =
% 159.15/22.99 | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 159.15/22.99 | $i(all_57_1))) & ( ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 159.15/22.99 | op(e1, e0) = all_57_13 & $i(all_57_13)))) | (all_57_4 = e1 &
% 159.15/22.99 | all_57_7 = e1 & ~ (all_57_12 = e2) & op(e2, e2) = all_57_12 &
% 159.15/22.99 | op(e2, e1) = e1 & op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12
% 159.15/22.99 | = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 159.15/22.99 | $i(all_57_0))) & ( ~ (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.15/22.99 | op(e2, e0) = all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) | ( ~
% 159.15/22.99 | (all_57_12 = e1) & op(e1, e1) = all_57_12))) | (all_57_5 = e2 &
% 159.15/22.99 | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 159.15/22.99 | = e2 & op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15 =
% 159.15/22.99 | e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 159.15/22.99 | $i(all_57_2))) & ( ~ (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 159.15/22.99 | op(e0, e1) = all_57_8 & $i(all_57_8)))) | (all_57_5 = e0 &
% 159.15/22.99 | all_57_11 = e0 & ~ (all_57_12 = e2) & op(e2, e2) = all_57_12 &
% 159.15/22.99 | op(e2, e0) = e0 & op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12
% 159.15/22.99 | = e3) | ( ~ (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 159.15/22.99 | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 159.15/22.99 | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 159.15/22.99 | (all_57_12 = e0) & op(e0, e0) = all_57_12))) | (all_57_8 = e1 &
% 159.15/22.99 | all_57_13 = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 159.15/22.99 | = e1 & op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15 =
% 159.15/22.99 | e3) | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 159.15/22.99 | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 159.15/22.99 | op(e0, e2) = all_57_5 & $i(all_57_5)))) | (all_57_8 = e0 &
% 159.15/22.99 | all_57_13 = e0 & ~ (all_57_14 = e1) & op(e1, e1) = all_57_14 &
% 159.15/22.99 | op(e1, e0) = e0 & op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14
% 159.15/22.99 | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 159.15/22.99 | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 159.15/22.99 | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 159.15/22.99 | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_36_2, e0, e0,
% 159.15/22.99 | simplifying with (78), (84) gives:
% 159.15/22.99 | (240) all_36_2 = all_32_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_36_2, e0, e0,
% 159.15/22.99 | simplifying with (63), (84) gives:
% 159.15/22.99 | (241) all_36_2 = all_22_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_36_2, e0, e0,
% 159.15/22.99 | simplifying with (42), (84) gives:
% 159.15/22.99 | (242) all_36_2 = all_8_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_15, e0, e0,
% 159.15/22.99 | simplifying with (87), (156) gives:
% 159.15/22.99 | (243) all_52_15 = all_38_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_15, e0, e0,
% 159.15/22.99 | simplifying with (63), (156) gives:
% 159.15/22.99 | (244) all_52_15 = all_22_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 159.15/22.99 | e0, simplifying with (156), (173) gives:
% 159.15/22.99 | (245) all_54_15 = all_52_15
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_15, e0, e0,
% 159.15/22.99 | simplifying with (39), (173) gives:
% 159.15/22.99 | (246) all_54_15 = all_6_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 159.15/22.99 | e0, simplifying with (157), (174) gives:
% 159.15/22.99 | (247) all_54_14 = all_52_11
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 159.15/22.99 | simplifying with (158), (175) gives:
% 159.15/22.99 | (248) all_54_13 = all_52_7
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 159.15/22.99 | simplifying with (159), (176) gives:
% 159.15/22.99 | (249) all_54_12 = all_52_3
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 159.15/22.99 | e1, simplifying with (160), (177) gives:
% 159.15/22.99 | (250) all_54_11 = all_52_14
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_10, e1, e1,
% 159.15/22.99 | simplifying with (96), (161) gives:
% 159.15/22.99 | (251) all_52_10 = all_44_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_10, e1, e1,
% 159.15/22.99 | simplifying with (69), (161) gives:
% 159.15/22.99 | (252) all_52_10 = all_26_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_52_10, e1, e1,
% 159.15/22.99 | simplifying with (66), (161) gives:
% 159.15/22.99 | (253) all_52_10 = all_24_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_52_10, e1, e1,
% 159.15/22.99 | simplifying with (51), (161) gives:
% 159.15/22.99 | (254) all_52_10 = all_14_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_54_10, e1, e1,
% 159.15/22.99 | simplifying with (93), (178) gives:
% 159.15/22.99 | (255) all_54_10 = all_42_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_54_10, e1, e1,
% 159.15/22.99 | simplifying with (66), (178) gives:
% 159.15/22.99 | (256) all_54_10 = all_24_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_54_10, e1, e1,
% 159.15/22.99 | simplifying with (54), (178) gives:
% 159.15/22.99 | (257) all_54_10 = all_16_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 159.15/22.99 | simplifying with (162), (179) gives:
% 159.15/22.99 | (258) all_54_9 = all_52_6
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 159.15/22.99 | simplifying with (163), (180) gives:
% 159.15/22.99 | (259) all_54_8 = all_52_2
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 159.15/22.99 | simplifying with (164), (181) gives:
% 159.15/22.99 | (260) all_54_7 = all_52_13
% 159.15/22.99 |
% 159.15/22.99 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 159.15/22.99 | simplifying with (165), (182) gives:
% 159.15/23.00 | (261) all_54_6 = all_52_9
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_28_2, e2, e2,
% 159.15/23.00 | simplifying with (48), (72) gives:
% 159.15/23.00 | (262) all_28_2 = all_12_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_34_2, e2, e2,
% 159.15/23.00 | simplifying with (72), (81) gives:
% 159.15/23.00 | (263) all_34_2 = all_28_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_46_2, e2, e2,
% 159.15/23.00 | simplifying with (81), (99) gives:
% 159.15/23.00 | (264) all_46_2 = all_34_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_5, e2, e2,
% 159.15/23.00 | simplifying with (105), (166) gives:
% 159.15/23.00 | (265) all_52_5 = all_50_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_5, e2, e2,
% 159.15/23.00 | simplifying with (99), (166) gives:
% 159.15/23.00 | (266) all_52_5 = all_46_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 159.15/23.00 | simplifying with (166), (183) gives:
% 159.15/23.00 | (267) all_54_5 = all_52_5
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_54_5, e2, e2,
% 159.15/23.00 | simplifying with (45), (183) gives:
% 159.15/23.00 | (268) all_54_5 = all_10_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 159.15/23.00 | simplifying with (167), (184) gives:
% 159.15/23.00 | (269) all_54_4 = all_52_1
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 159.15/23.00 | simplifying with (168), (185) gives:
% 159.15/23.00 | (270) all_54_3 = all_52_12
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 159.15/23.00 | simplifying with (169), (186) gives:
% 159.15/23.00 | (271) all_54_2 = all_52_8
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 159.15/23.00 | simplifying with (170), (187) gives:
% 159.15/23.00 | (272) all_54_1 = all_52_4
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_40_2, e3, e3,
% 159.15/23.00 | simplifying with (75), (90) gives:
% 159.15/23.00 | (273) all_40_2 = all_30_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_40_2, e3, e3,
% 159.15/23.00 | simplifying with (60), (90) gives:
% 159.15/23.00 | (274) all_40_2 = all_20_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_48_2, e3, e3,
% 159.15/23.00 | simplifying with (60), (102) gives:
% 159.15/23.00 | (275) all_48_2 = all_20_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_0, e3, e3,
% 159.15/23.00 | simplifying with (90), (171) gives:
% 159.15/23.00 | (276) all_52_0 = all_40_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_52_0, e3, e3,
% 159.15/23.00 | simplifying with (57), (171) gives:
% 159.15/23.00 | (277) all_52_0 = all_18_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_54_0, e3, e3,
% 159.15/23.00 | simplifying with (102), (188) gives:
% 159.15/23.00 | (278) all_54_0 = all_48_2
% 159.15/23.00 |
% 159.15/23.00 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_0, e3, e3,
% 159.15/23.00 | simplifying with (36), (188) gives:
% 159.15/23.00 | (279) all_54_0 = all_4_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (278), (279) imply:
% 159.15/23.00 | (280) all_48_2 = all_4_2
% 159.15/23.00 |
% 159.15/23.00 | SIMP: (280) implies:
% 159.15/23.00 | (281) all_48_2 = all_4_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (267), (268) imply:
% 159.15/23.00 | (282) all_52_5 = all_10_2
% 159.15/23.00 |
% 159.15/23.00 | SIMP: (282) implies:
% 159.15/23.00 | (283) all_52_5 = all_10_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (255), (256) imply:
% 159.15/23.00 | (284) all_42_2 = all_24_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (255), (257) imply:
% 159.15/23.00 | (285) all_42_2 = all_16_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (245), (246) imply:
% 159.15/23.00 | (286) all_52_15 = all_6_2
% 159.15/23.00 |
% 159.15/23.00 | SIMP: (286) implies:
% 159.15/23.00 | (287) all_52_15 = all_6_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (276), (277) imply:
% 159.15/23.00 | (288) all_40_2 = all_18_2
% 159.15/23.00 |
% 159.15/23.00 | SIMP: (288) implies:
% 159.15/23.00 | (289) all_40_2 = all_18_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (265), (266) imply:
% 159.15/23.00 | (290) all_50_2 = all_46_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (265), (283) imply:
% 159.15/23.00 | (291) all_50_2 = all_10_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (251), (252) imply:
% 159.15/23.00 | (292) all_44_2 = all_26_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (251), (253) imply:
% 159.15/23.00 | (293) all_44_2 = all_24_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (251), (254) imply:
% 159.15/23.00 | (294) all_44_2 = all_14_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (243), (244) imply:
% 159.15/23.00 | (295) all_38_2 = all_22_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (243), (287) imply:
% 159.15/23.00 | (296) all_38_2 = all_6_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (290), (291) imply:
% 159.15/23.00 | (297) all_46_2 = all_10_2
% 159.15/23.00 |
% 159.15/23.00 | SIMP: (297) implies:
% 159.15/23.00 | (298) all_46_2 = all_10_2
% 159.15/23.00 |
% 159.15/23.00 | COMBINE_EQS: (275), (281) imply:
% 159.62/23.05 | (299) all_20_2 = all_4_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (299) implies:
% 159.62/23.05 | (300) all_20_2 = all_4_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (264), (298) imply:
% 159.62/23.05 | (301) all_34_2 = all_10_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (301) implies:
% 159.62/23.05 | (302) all_34_2 = all_10_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (292), (294) imply:
% 159.62/23.05 | (303) all_26_2 = all_14_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (292), (293) imply:
% 159.62/23.05 | (304) all_26_2 = all_24_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (284), (285) imply:
% 159.62/23.05 | (305) all_24_2 = all_16_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (305) implies:
% 159.62/23.05 | (306) all_24_2 = all_16_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (273), (274) imply:
% 159.62/23.05 | (307) all_30_2 = all_20_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (273), (289) imply:
% 159.62/23.05 | (308) all_30_2 = all_18_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (295), (296) imply:
% 159.62/23.05 | (309) all_22_2 = all_6_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (309) implies:
% 159.62/23.05 | (310) all_22_2 = all_6_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (240), (241) imply:
% 159.62/23.05 | (311) all_32_2 = all_22_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (240), (242) imply:
% 159.62/23.05 | (312) all_32_2 = all_8_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (263), (302) imply:
% 159.62/23.05 | (313) all_28_2 = all_10_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (313) implies:
% 159.62/23.05 | (314) all_28_2 = all_10_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (311), (312) imply:
% 159.62/23.05 | (315) all_22_2 = all_8_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (315) implies:
% 159.62/23.05 | (316) all_22_2 = all_8_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (307), (308) imply:
% 159.62/23.05 | (317) all_20_2 = all_18_2
% 159.62/23.05 |
% 159.62/23.05 | SIMP: (317) implies:
% 159.62/23.05 | (318) all_20_2 = all_18_2
% 159.62/23.05 |
% 159.62/23.05 | COMBINE_EQS: (262), (314) imply:
% 159.62/23.05 | (319) all_12_2 = all_10_2
% 159.62/23.05 |
% 159.62/23.06 | SIMP: (319) implies:
% 159.62/23.06 | (320) all_12_2 = all_10_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (303), (304) imply:
% 159.62/23.06 | (321) all_24_2 = all_14_2
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (321) implies:
% 159.62/23.06 | (322) all_24_2 = all_14_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (306), (322) imply:
% 159.62/23.06 | (323) all_16_2 = all_14_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (310), (316) imply:
% 159.62/23.06 | (324) all_8_2 = all_6_2
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (324) implies:
% 159.62/23.06 | (325) all_8_2 = all_6_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (300), (318) imply:
% 159.62/23.06 | (326) all_18_2 = all_4_2
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (326) implies:
% 159.62/23.06 | (327) all_18_2 = all_4_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (308), (327) imply:
% 159.62/23.06 | (328) all_30_2 = all_4_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (312), (325) imply:
% 159.62/23.06 | (329) all_32_2 = all_6_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (240), (329) imply:
% 159.62/23.06 | (330) all_36_2 = all_6_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (273), (328) imply:
% 159.62/23.06 | (331) all_40_2 = all_4_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (285), (323) imply:
% 159.62/23.06 | (332) all_42_2 = all_14_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (277), (327) imply:
% 159.62/23.06 | (333) all_52_0 = all_4_2
% 159.62/23.06 |
% 159.62/23.06 | COMBINE_EQS: (255), (332) imply:
% 159.62/23.06 | (334) all_54_10 = all_14_2
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (155), (333) imply:
% 159.62/23.06 | (335) ~ (all_52_1 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (335) implies:
% 159.62/23.06 | (336) ~ (all_52_1 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (154), (333) imply:
% 159.62/23.06 | (337) ~ (all_52_2 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (337) implies:
% 159.62/23.06 | (338) ~ (all_52_2 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (153), (333) imply:
% 159.62/23.06 | (339) ~ (all_52_3 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (339) implies:
% 159.62/23.06 | (340) ~ (all_52_3 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (152), (333) imply:
% 159.62/23.06 | (341) ~ (all_52_4 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (341) implies:
% 159.62/23.06 | (342) ~ (all_52_4 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (151), (333) imply:
% 159.62/23.06 | (343) ~ (all_52_8 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (343) implies:
% 159.62/23.06 | (344) ~ (all_52_8 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (150), (333) imply:
% 159.62/23.06 | (345) ~ (all_52_12 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (345) implies:
% 159.62/23.06 | (346) ~ (all_52_12 = all_4_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (147), (283) imply:
% 159.62/23.06 | (347) ~ (all_52_1 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (142), (254) imply:
% 159.62/23.06 | (348) ~ (all_52_2 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (138), (287) imply:
% 159.62/23.06 | (349) ~ (all_52_3 = all_6_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (137), (283) imply:
% 159.62/23.06 | (350) ~ (all_52_4 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (132), (283) imply:
% 159.62/23.06 | (351) ~ (all_52_6 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (351) implies:
% 159.62/23.06 | (352) ~ (all_52_6 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (131), (283) imply:
% 159.62/23.06 | (353) ~ (all_52_7 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (353) implies:
% 159.62/23.06 | (354) ~ (all_52_7 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (130), (283) imply:
% 159.62/23.06 | (355) ~ (all_52_9 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (355) implies:
% 159.62/23.06 | (356) ~ (all_52_9 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (129), (283) imply:
% 159.62/23.06 | (357) ~ (all_52_13 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (357) implies:
% 159.62/23.06 | (358) ~ (all_52_13 = all_10_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (127), (254) imply:
% 159.62/23.06 | (359) ~ (all_52_6 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (124), (287) imply:
% 159.62/23.06 | (360) ~ (all_52_7 = all_6_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (122), (254) imply:
% 159.62/23.06 | (361) ~ (all_52_8 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (119), (254) imply:
% 159.62/23.06 | (362) ~ (all_52_9 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (116), (254) imply:
% 159.62/23.06 | (363) ~ (all_52_11 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (363) implies:
% 159.62/23.06 | (364) ~ (all_52_11 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (115), (254) imply:
% 159.62/23.06 | (365) ~ (all_52_14 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | SIMP: (365) implies:
% 159.62/23.06 | (366) ~ (all_52_14 = all_14_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (114), (287) imply:
% 159.62/23.06 | (367) ~ (all_52_11 = all_6_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (111), (287) imply:
% 159.62/23.06 | (368) ~ (all_52_12 = all_6_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (109), (287) imply:
% 159.62/23.06 | (369) ~ (all_52_13 = all_6_2)
% 159.62/23.06 |
% 159.62/23.06 | REDUCE: (108), (287) imply:
% 159.62/23.06 | (370) ~ (all_52_14 = all_6_2)
% 159.62/23.06 |
% 159.62/23.06 | BETA: splitting (37) gives:
% 159.62/23.06 |
% 159.62/23.06 | Case 1:
% 159.62/23.06 | |
% 159.62/23.06 | | (371) ~ (all_4_2 = e2)
% 159.62/23.06 | |
% 159.62/23.06 | | BETA: splitting (40) gives:
% 159.62/23.06 | |
% 159.62/23.06 | | Case 1:
% 159.62/23.06 | | |
% 159.62/23.06 | | | (372) ~ (all_6_2 = e3)
% 159.62/23.06 | | |
% 159.62/23.06 | | | BETA: splitting (46) gives:
% 159.62/23.06 | | |
% 159.62/23.06 | | | Case 1:
% 159.62/23.06 | | | |
% 159.62/23.06 | | | | (373) ~ (all_10_2 = e1)
% 159.62/23.06 | | | |
% 159.62/23.06 | | | | BETA: splitting (49) gives:
% 159.62/23.06 | | | |
% 159.62/23.06 | | | | Case 1:
% 159.62/23.06 | | | | |
% 159.62/23.06 | | | | | (374) ~ (all_12_2 = e3)
% 159.62/23.06 | | | | |
% 159.62/23.06 | | | | | REDUCE: (320), (374) imply:
% 159.62/23.06 | | | | | (375) ~ (all_10_2 = e3)
% 159.62/23.06 | | | | |
% 159.62/23.06 | | | | | BETA: splitting (52) gives:
% 159.62/23.06 | | | | |
% 159.62/23.06 | | | | | Case 1:
% 159.62/23.06 | | | | | |
% 159.62/23.06 | | | | | | (376) ~ (all_14_2 = e0)
% 159.62/23.06 | | | | | |
% 159.62/23.06 | | | | | | BETA: splitting (58) gives:
% 159.62/23.06 | | | | | |
% 159.62/23.06 | | | | | | Case 1:
% 159.62/23.06 | | | | | | |
% 159.62/23.06 | | | | | | | (377) ~ (all_18_2 = e0)
% 159.62/23.06 | | | | | | |
% 159.62/23.06 | | | | | | | REDUCE: (327), (377) imply:
% 159.62/23.06 | | | | | | | (378) ~ (all_4_2 = e0)
% 159.62/23.06 | | | | | | |
% 159.62/23.06 | | | | | | | BETA: splitting (61) gives:
% 159.62/23.06 | | | | | | |
% 159.62/23.06 | | | | | | | Case 1:
% 159.62/23.06 | | | | | | | |
% 159.62/23.06 | | | | | | | | (379) ~ (all_20_2 = e1)
% 159.62/23.06 | | | | | | | |
% 159.62/23.06 | | | | | | | | REDUCE: (300), (379) imply:
% 159.62/23.06 | | | | | | | | (380) ~ (all_4_2 = e1)
% 159.62/23.06 | | | | | | | |
% 159.62/23.06 | | | | | | | | BETA: splitting (204) gives:
% 159.62/23.06 | | | | | | | |
% 159.62/23.06 | | | | | | | | Case 1:
% 159.62/23.06 | | | | | | | | |
% 159.62/23.06 | | | | | | | | | (381) all_54_0 = e1
% 159.62/23.06 | | | | | | | | |
% 159.62/23.06 | | | | | | | | | COMBINE_EQS: (279), (381) imply:
% 159.62/23.06 | | | | | | | | | (382) all_4_2 = e1
% 159.62/23.06 | | | | | | | | |
% 159.62/23.06 | | | | | | | | | REDUCE: (380), (382) imply:
% 159.62/23.06 | | | | | | | | | (383) $false
% 159.62/23.07 | | | | | | | | |
% 159.62/23.07 | | | | | | | | | CLOSE: (383) is inconsistent.
% 159.62/23.07 | | | | | | | | |
% 159.62/23.07 | | | | | | | | Case 2:
% 159.62/23.07 | | | | | | | | |
% 159.62/23.07 | | | | | | | | | (384) ~ (all_54_0 = e1)
% 159.62/23.07 | | | | | | | | | (385) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 159.62/23.07 | | | | | | | | |
% 159.62/23.07 | | | | | | | | | BETA: splitting (385) gives:
% 159.62/23.07 | | | | | | | | |
% 159.62/23.07 | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | (386) all_54_0 = e2
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | COMBINE_EQS: (279), (386) imply:
% 159.62/23.07 | | | | | | | | | | (387) all_4_2 = e2
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | REDUCE: (371), (387) imply:
% 159.62/23.07 | | | | | | | | | | (388) $false
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | CLOSE: (388) is inconsistent.
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | Case 2:
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | (389) ~ (all_54_0 = e2)
% 159.62/23.07 | | | | | | | | | | (390) all_54_0 = e3 | all_54_0 = e0
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | BETA: splitting (390) gives:
% 159.62/23.07 | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | (391) all_54_0 = e3
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | COMBINE_EQS: (279), (391) imply:
% 159.62/23.07 | | | | | | | | | | | (392) all_4_2 = e3
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | REDUCE: (336), (392) imply:
% 159.62/23.07 | | | | | | | | | | | (393) ~ (all_52_1 = e3)
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | REDUCE: (338), (392) imply:
% 159.62/23.07 | | | | | | | | | | | (394) ~ (all_52_2 = e3)
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | REDUCE: (342), (392) imply:
% 159.62/23.07 | | | | | | | | | | | (395) ~ (all_52_4 = e3)
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | REDUCE: (344), (392) imply:
% 159.62/23.07 | | | | | | | | | | | (396) ~ (all_52_8 = e3)
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | REDUCE: (346), (392) imply:
% 159.62/23.07 | | | | | | | | | | | (397) ~ (all_52_12 = e3)
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | REDUCE: (36), (392) imply:
% 159.62/23.07 | | | | | | | | | | | (398) op(e3, e3) = e3
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | BETA: splitting (64) gives:
% 159.62/23.07 | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | (399) ~ (all_22_2 = e1)
% 159.62/23.07 | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | REDUCE: (310), (399) imply:
% 159.62/23.07 | | | | | | | | | | | | (400) ~ (all_6_2 = e1)
% 159.62/23.07 | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | BETA: splitting (67) gives:
% 159.62/23.07 | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | (401) ~ (all_24_2 = e2)
% 159.62/23.07 | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | REDUCE: (322), (401) imply:
% 159.62/23.07 | | | | | | | | | | | | | (402) ~ (all_14_2 = e2)
% 159.62/23.07 | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 159.62/23.07 | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | (403) ~ (all_26_2 = e3)
% 159.62/23.07 | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | REDUCE: (303), (403) imply:
% 159.62/23.07 | | | | | | | | | | | | | | (404) ~ (all_14_2 = e3)
% 159.62/23.07 | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 159.62/23.07 | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | (405) all_54_10 = e1
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | COMBINE_EQS: (334), (405) imply:
% 159.62/23.07 | | | | | | | | | | | | | | | (406) all_14_2 = e1
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | SIMP: (406) implies:
% 159.62/23.07 | | | | | | | | | | | | | | | (407) all_14_2 = e1
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | REDUCE: (359), (407) imply:
% 159.62/23.07 | | | | | | | | | | | | | | | (408) ~ (all_52_6 = e1)
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | REDUCE: (361), (407) imply:
% 159.62/23.07 | | | | | | | | | | | | | | | (409) ~ (all_52_8 = e1)
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | REDUCE: (366), (407) imply:
% 159.62/23.07 | | | | | | | | | | | | | | | (410) ~ (all_52_14 = e1)
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | REDUCE: (51), (407) imply:
% 159.62/23.07 | | | | | | | | | | | | | | | (411) op(e1, e1) = e1
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 159.62/23.07 | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | Case 1:
% 159.62/23.07 | | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | | (412) ~ (all_28_2 = e0)
% 159.62/23.07 | | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | | REDUCE: (314), (412) imply:
% 159.62/23.07 | | | | | | | | | | | | | | | | (413) ~ (all_10_2 = e0)
% 159.62/23.07 | | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (162), (163), (164), (165), (168),
% 159.62/23.07 | | | | | | | | | | | | | | | | (169), (199), (239), (268), (356), (358), (373),
% 159.62/23.07 | | | | | | | | | | | | | | | | (375), (394), (397), (398), (408), (409), (410),
% 159.62/23.07 | | | | | | | | | | | | | | | | (411), (413), (function-axioms) are inconsistent
% 159.62/23.07 | | | | | | | | | | | | | | | | by sub-proof #1399.
% 159.62/23.07 | | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | Case 2:
% 159.62/23.07 | | | | | | | | | | | | | | | |
% 159.62/23.07 | | | | | | | | | | | | | | | | (414) all_28_2 = e0
% 159.62/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (414) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (415) all_10_2 = e0
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | SIMP: (415) implies:
% 159.73/23.07 | | | | | | | | | | | | | | | | (416) all_10_2 = e0
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (347), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (417) ~ (all_52_1 = e0)
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (350), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (418) ~ (all_52_4 = e0)
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (354), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (419) ~ (all_52_7 = e0)
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (356), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (420) ~ (all_52_9 = e0)
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (358), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (421) ~ (all_52_13 = e0)
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (375), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (422) ~ (e3 = e0)
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | REDUCE: (45), (416) imply:
% 159.73/23.07 | | | | | | | | | | | | | | | | (423) op(e2, e2) = e0
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.73/23.07 | | | | | | | | | | | | | | | |
% 159.73/23.07 | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.07 | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | (424) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 159.73/23.08 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 159.73/23.08 | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 159.73/23.08 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 159.73/23.08 | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 159.73/23.08 | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 159.73/23.08 | | | | | | | | | | | | | | | | | = all_57_10)))
% 159.73/23.08 | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 159.73/23.08 | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.08 | | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (425) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 159.73/23.08 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 159.73/23.08 | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 159.73/23.08 | | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (394), (395), (398), (425),
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.08 | | | | | | | | | | | | | | | | | | #1397.
% 159.73/23.08 | | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.08 | | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (426) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 159.73/23.08 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 159.73/23.08 | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 159.73/23.08 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 159.73/23.08 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 159.73/23.08 | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 159.73/23.08 | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 159.73/23.08 | | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (397), (398), (409), (426),
% 159.73/23.08 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.08 | | | | | | | | | | | | | | | | | | #1409.
% 159.73/23.08 | | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | | End of split
% 159.73/23.08 | | | | | | | | | | | | | | | | |
% 159.73/23.08 | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.08 | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | (427) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 159.73/23.09 | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 159.73/23.09 | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 159.73/23.09 | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 159.73/23.09 | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 159.73/23.09 | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 159.73/23.09 | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 159.73/23.09 | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 159.73/23.09 | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 159.73/23.09 | | | | | | | | | | | | | | | | | = all_57_14)))
% 159.73/23.09 | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.09 | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (428) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 159.73/23.09 | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 159.73/23.09 | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 159.73/23.09 | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | (429) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | (430) ~ (all_57_14 = e1)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | (431) op(e1, e1) = all_57_14
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (411), (430), (431), (function-axioms) are
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | (432) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (433) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (434) op(e1, e2) = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (408), (434), (function-axioms) are
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (435) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (435) implies:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (436) ~ (all_57_15 = e0)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (437) op(e0, e0) = all_57_15
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (438) op(e0, e2) = e2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (439) op(e2, e0) = e2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (39), (437)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (440) all_57_15 = all_6_2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (438) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (441) all_52_7 = e2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (439) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (442) all_52_13 = e2
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (436), (440) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (443) ~ (all_6_2 = e0)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (442) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (444) ~ (all_52_1 = e2)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (441) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | (445) ~ (all_52_4 = e2)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | (446) all_54_1 = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (446) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | (447) all_52_4 = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (447) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | (448) op(e3, e2) = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | (449) all_54_4 = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (449) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | (450) all_52_1 = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (450) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | (451) ~ (e3 = e1)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (450) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | (452) ~ (e2 = e1)
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (450) imply:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | (453) op(e2, e3) = e1
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.09 | | | | | | | | | | | | | | | | | | | | | | | (454) all_54_15 = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (400), (454) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | (455) ~ (all_54_15 = e1)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | (456) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | (457) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_56_12 = e3 & op(e0, e3) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_56_12 = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (231), (233),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (398), (453), (459), (function-axioms) are
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1381.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_56_13 = e3 & op(e0, e2) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (460) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (461) op(e0, e2) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (438), (461), (function-axioms) are
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | (462) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_56_14 = e3 & op(e0, e1) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_56_14 = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_56_15 = e0 & op(e0, e0) = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (466) op(e0, e0) = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (443), (456), (466),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (467) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (467) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (468) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_56_12 = e0 & op(e0, e3) = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (469) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_56_12 = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_56_4 = e0 & op(e3, e1) = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (472) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_56_4 = e0
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_56_9 = e1 & op(e3, e0) = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_56_9 = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (398), (448), (473), (476),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1371.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_56_10 = e1 & op(e2, e0) = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (477) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_56_10 = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (398),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423), (470), (479), (function-axioms) are
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1361.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (480) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_56_5 = e3 & op(e2, e1) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (481) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_56_5 = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (145), (164), (167), (398), (439), (483),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1359.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_56_6 = e2 & op(e1, e3) = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (485) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_56_6 = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (145), (164), (167), (423), (439), (487),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_56_5 = e2 & op(e2, e1) = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (482), (489) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1356.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_56_10 = e2 & op(e2, e0) = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_56_10 = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (491) imply:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) e2 = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) e2 = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (493) imply:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_56_6 = e1
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (145), (164), (167), (233), (398),
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439), (470), (494), (function-axioms) are
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1354.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_56_12 = e2 & op(e0, e3) = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (495) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_56_12 = e2
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (470), (496) are inconsistent by sub-proof
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_56_10 = e3 & op(e2, e0) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (497) implies:
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) op(e2, e0) = e3
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (439), (498), (function-axioms) are
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (246), (372), (400), (410), (443),
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456), (499), (function-axioms) are inconsistent
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_56_5 = e0 & op(e2, e1) = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (420), (500), (function-axioms) are
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (411), (464), (501), (function-axioms)
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1346.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_56_13 = e0 & op(e0, e2) = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_56_13 = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (398), (423), (504),
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1321.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_56_14 = e0 & op(e0, e1) = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (464), (505) are inconsistent by sub-proof
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_56_15 = e3 & op(e0, e0) = e3
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | (507) op(e0, e0) = e3
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (443), (456), (507),
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | #1318.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | (508) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (393), (417), (444), (508) are inconsistent
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1313.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | (509) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (395), (418), (445), (509) are inconsistent
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1311.
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (510) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 159.73/23.11 | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 159.73/23.11 | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 159.73/23.11 | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 159.73/23.11 | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 159.73/23.11 | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 159.73/23.11 | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 159.73/23.11 | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 159.73/23.11 | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (410), (411), (419), (510),
% 159.73/23.11 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.73/23.11 | | | | | | | | | | | | | | | | | | #1309.
% 159.73/23.11 | | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | (511) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 159.73/23.11 | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | BETA: splitting (511) gives:
% 159.73/23.11 | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | Case 1:
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | (512) all_54_10 = e2
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | REF_CLOSE: (334), (402), (512) are inconsistent by sub-proof
% 159.73/23.11 | | | | | | | | | | | | | | | | #1308.
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | (513) all_54_10 = e3 | all_54_10 = e0
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | | REF_CLOSE: (334), (376), (404), (513) are inconsistent by
% 159.73/23.11 | | | | | | | | | | | | | | | | sub-proof #1306.
% 159.73/23.11 | | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | (514) all_26_2 = e3
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | COMBINE_EQS: (303), (514) imply:
% 159.73/23.11 | | | | | | | | | | | | | | (515) all_14_2 = e3
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | SIMP: (515) implies:
% 159.73/23.11 | | | | | | | | | | | | | | (516) all_14_2 = e3
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | COMBINE_EQS: (332), (516) imply:
% 159.73/23.11 | | | | | | | | | | | | | | (517) all_42_2 = e3
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | REDUCE: (359), (516) imply:
% 159.73/23.11 | | | | | | | | | | | | | | (518) ~ (all_52_6 = e3)
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | REDUCE: (364), (516) imply:
% 159.73/23.11 | | | | | | | | | | | | | | (519) ~ (all_52_11 = e3)
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | REDUCE: (366), (516) imply:
% 159.73/23.11 | | | | | | | | | | | | | | (520) ~ (all_52_14 = e3)
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 159.73/23.11 | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 159.73/23.11 | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 159.73/23.11 | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 159.73/23.11 | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 159.73/23.11 | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 159.73/23.11 | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 159.73/23.11 | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 159.73/23.11 | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 159.73/23.11 | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 159.73/23.11 | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 159.73/23.11 | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 159.73/23.11 | | | | | | | | | | | | | | (261), (268), (270), (271), (272), (291), (314),
% 159.73/23.11 | | | | | | | | | | | | | | (329), (347), (349), (350), (352), (356), (358),
% 159.73/23.11 | | | | | | | | | | | | | | (367), (368), (369), (370), (372), (373), (375),
% 159.73/23.11 | | | | | | | | | | | | | | (394), (396), (398), (400), (517), (518), (519),
% 159.73/23.11 | | | | | | | | | | | | | | (520), (function-axioms) are inconsistent by
% 159.73/23.11 | | | | | | | | | | | | | | sub-proof #1096.
% 159.73/23.11 | | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | | End of split
% 159.73/23.11 | | | | | | | | | | | | |
% 159.73/23.11 | | | | | | | | | | | | Case 2:
% 159.73/23.11 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | (521) all_24_2 = e2
% 159.73/23.12 | | | | | | | | | | | | | (522) ( ~ (all_24_0 = e3) & op(e1, e2) = all_24_0 &
% 159.73/23.12 | | | | | | | | | | | | | $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e2, e2)
% 159.73/23.12 | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | COMBINE_EQS: (322), (521) imply:
% 159.73/23.12 | | | | | | | | | | | | | (523) all_14_2 = e2
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | SIMP: (523) implies:
% 159.73/23.12 | | | | | | | | | | | | | (524) all_14_2 = e2
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | REDUCE: (348), (524) imply:
% 159.73/23.12 | | | | | | | | | | | | | (525) ~ (all_52_2 = e2)
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | REDUCE: (359), (524) imply:
% 159.73/23.12 | | | | | | | | | | | | | (526) ~ (all_52_6 = e2)
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | REDUCE: (361), (524) imply:
% 159.73/23.12 | | | | | | | | | | | | | (527) ~ (all_52_8 = e2)
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | REDUCE: (362), (524) imply:
% 159.73/23.12 | | | | | | | | | | | | | (528) ~ (all_52_9 = e2)
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | REDUCE: (51), (524) imply:
% 159.73/23.12 | | | | | | | | | | | | | (529) op(e1, e1) = e2
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | BETA: splitting (215) gives:
% 159.73/23.12 | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | Case 1:
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | (530) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 159.73/23.12 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | BETA: splitting (530) gives:
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | Case 1:
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | (531) all_56_6 = e2 & op(e1, e3) = e2
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | REF_CLOSE: (163), (525), (531), (function-axioms) are
% 159.73/23.12 | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | Case 2:
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | (532) all_56_7 = e2 & op(e1, e2) = e2
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 159.73/23.12 | | | | | | | | | | | | | | | (533) all_56_7 = e2
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (145),
% 159.73/23.12 | | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (206), (207),
% 159.73/23.12 | | | | | | | | | | | | | | | (208), (209), (211), (212), (213), (214), (216),
% 159.73/23.12 | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (225),
% 159.73/23.12 | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 159.73/23.12 | | | | | | | | | | | | | | | (234), (372), (375), (394), (396), (398), (525),
% 159.73/23.12 | | | | | | | | | | | | | | | (527), (528), (529), (533), (function-axioms) are
% 159.73/23.12 | | | | | | | | | | | | | | | inconsistent by sub-proof #1020.
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | End of split
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | Case 2:
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | (534) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 159.73/23.12 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | BETA: splitting (534) gives:
% 159.73/23.12 | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | Case 1:
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | (535) all_56_8 = e2 & op(e1, e1) = e2
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | ALPHA: (535) implies:
% 159.73/23.12 | | | | | | | | | | | | | | | (536) all_56_8 = e2
% 159.73/23.12 | | | | | | | | | | | | | | |
% 159.73/23.12 | | | | | | | | | | | | | | | REF_CLOSE: (39), (45), (73), (113), (126), (128), (135),
% 159.73/23.12 | | | | | | | | | | | | | | | (136), (141), (143), (144), (148), (158), (159),
% 159.73/23.12 | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 159.73/23.12 | | | | | | | | | | | | | | | (169), (170), (189), (191), (195), (196), (199),
% 159.73/23.12 | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 159.94/23.12 | | | | | | | | | | | | | | | (212), (213), (214), (216), (220), (221), (222),
% 159.94/23.12 | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 159.94/23.12 | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (239), (246),
% 159.94/23.12 | | | | | | | | | | | | | | | (248), (258), (259), (268), (272), (314), (347),
% 159.94/23.12 | | | | | | | | | | | | | | | (350), (352), (354), (356), (358), (360), (368),
% 159.94/23.12 | | | | | | | | | | | | | | | (370), (372), (373), (375), (394), (395), (396),
% 159.94/23.12 | | | | | | | | | | | | | | | (397), (398), (400), (522), (525), (526), (527),
% 159.94/23.12 | | | | | | | | | | | | | | | (528), (529), (536), (function-axioms) are
% 159.94/23.12 | | | | | | | | | | | | | | | inconsistent by sub-proof #977.
% 159.94/23.12 | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | Case 2:
% 159.94/23.12 | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | (537) all_56_11 = e2 & op(e1, e0) = e2
% 159.94/23.12 | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | ALPHA: (537) implies:
% 159.94/23.12 | | | | | | | | | | | | | | | (538) all_56_11 = e2
% 159.94/23.12 | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 159.94/23.12 | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | Case 1:
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | (539) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 159.94/23.12 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (527), (528), (539),
% 159.94/23.12 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.94/23.12 | | | | | | | | | | | | | | | | #1083.
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | Case 2:
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | (540) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 159.94/23.12 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | BETA: splitting (540) gives:
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | | (541) all_56_8 = e2 & op(e1, e1) = e2
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | | ALPHA: (541) implies:
% 159.94/23.12 | | | | | | | | | | | | | | | | | (542) all_56_8 = e2
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (45), (73), (113), (126), (128), (135),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (136), (141), (143), (144), (148), (158), (159),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (169), (170), (189), (191), (195), (196), (199),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (220), (221), (222),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (239), (246),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (248), (258), (259), (268), (272), (314), (347),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (350), (352), (354), (356), (358), (360), (368),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (370), (372), (373), (375), (394), (395), (396),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (397), (398), (400), (522), (525), (526), (527),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (528), (529), (542), (function-axioms) are
% 159.94/23.12 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #977.
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | | (543) all_56_14 = e2 & op(e0, e1) = e2
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 159.94/23.12 | | | | | | | | | | | | | | | | | (544) all_56_14 = e2
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (212),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (230), (232), (234),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (372), (396), (398), (529), (538), (544),
% 159.94/23.12 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.94/23.12 | | | | | | | | | | | | | | | | | #975.
% 159.94/23.12 | | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | | End of split
% 159.94/23.12 | | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | | End of split
% 159.94/23.12 | | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | | End of split
% 159.94/23.12 | | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | | End of split
% 159.94/23.12 | | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | End of split
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | Case 2:
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | (545) all_22_2 = e1
% 159.94/23.12 | | | | | | | | | | | | (546) ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 159.94/23.12 | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1)
% 159.94/23.12 | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | COMBINE_EQS: (310), (545) imply:
% 159.94/23.12 | | | | | | | | | | | | (547) all_6_2 = e1
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | SIMP: (547) implies:
% 159.94/23.12 | | | | | | | | | | | | (548) all_6_2 = e1
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | COMBINE_EQS: (296), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (549) all_38_2 = e1
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | REDUCE: (349), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (550) ~ (all_52_3 = e1)
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | REDUCE: (367), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (551) ~ (all_52_11 = e1)
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | REDUCE: (369), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (552) ~ (all_52_13 = e1)
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | REDUCE: (370), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (553) ~ (all_52_14 = e1)
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | REDUCE: (372), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (554) ~ (e3 = e1)
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | REDUCE: (39), (548) imply:
% 159.94/23.12 | | | | | | | | | | | | (555) op(e0, e0) = e1
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | BETA: splitting (207) gives:
% 159.94/23.12 | | | | | | | | | | | |
% 159.94/23.12 | | | | | | | | | | | | Case 1:
% 159.94/23.12 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | (556) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 159.94/23.13 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 159.94/23.13 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | BETA: splitting (556) gives:
% 159.94/23.13 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | (557) all_56_12 = e1 & op(e0, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | REF_CLOSE: (159), (550), (557), (function-axioms) are
% 159.94/23.13 | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | (558) all_56_13 = e1 & op(e0, e2) = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | ALPHA: (558) implies:
% 159.94/23.13 | | | | | | | | | | | | | | (559) all_56_13 = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (208),
% 159.94/23.13 | | | | | | | | | | | | | | (209), (225), (226), (227), (228), (230), (232),
% 159.94/23.13 | | | | | | | | | | | | | | (234), (375), (398), (555), (559),
% 159.94/23.13 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.94/23.13 | | | | | | | | | | | | | | #966.
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | End of split
% 159.94/23.13 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | (560) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 159.94/23.13 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.94/23.13 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | BETA: splitting (560) gives:
% 159.94/23.13 | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | (561) all_56_14 = e1 & op(e0, e1) = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | ALPHA: (561) implies:
% 159.94/23.13 | | | | | | | | | | | | | | (562) all_56_14 = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 159.94/23.13 | | | | | | | | | | | | | | (555), (562), (function-axioms) are inconsistent
% 159.94/23.13 | | | | | | | | | | | | | | by sub-proof #964.
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | (563) all_56_15 = e1 & op(e0, e0) = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | ALPHA: (563) implies:
% 159.94/23.13 | | | | | | | | | | | | | | (564) all_56_15 = e1
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 159.94/23.13 | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | (565) ~ (all_24_2 = e2)
% 159.94/23.13 | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | REDUCE: (322), (565) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | (566) ~ (all_14_2 = e2)
% 159.94/23.13 | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 159.94/23.13 | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | (567) ~ (all_26_2 = e3)
% 159.94/23.13 | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | REDUCE: (303), (567) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | (568) ~ (all_14_2 = e3)
% 159.94/23.13 | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | (569) all_54_10 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (569) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (570) all_14_2 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | SIMP: (570) implies:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (571) all_14_2 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | REDUCE: (348), (571) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (572) ~ (all_52_2 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | REDUCE: (359), (571) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (573) ~ (all_52_6 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | REDUCE: (361), (571) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (574) ~ (all_52_8 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | REDUCE: (566), (571) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (575) ~ (e2 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | REDUCE: (51), (571) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | (576) op(e1, e1) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | (577) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | BETA: splitting (577) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | (578) all_56_0 = e1 & op(e3, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | ALPHA: (578) implies:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | (579) op(e3, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (398), (579), (function-axioms) are
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | (580) all_56_2 = e1 & op(e2, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | ALPHA: (580) implies:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | (581) op(e2, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | (582) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (583) all_56_0 = e1 & op(e3, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (584) op(e3, e3) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (398), (584), (function-axioms) are
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (585) all_56_1 = e1 & op(e3, e2) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (585) implies:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (586) op(e3, e2) = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (581) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (587) all_52_1 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (586) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (588) all_52_4 = e1
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (587) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (589) ~ (all_52_13 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (588) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (590) ~ (all_52_6 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (588) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (591) ~ (all_52_8 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (588) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | (592) ~ (all_10_2 = e1)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (593) ~ (all_28_2 = e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (593) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (594) ~ (all_10_2 = e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (162), (163), (164), (165), (168),
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (169), (199), (239), (268), (356), (358), (373),
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (375), (394), (397), (398), (553), (573), (574),
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (576), (594), (function-axioms) are inconsistent
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1399.
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (595) all_28_2 = e0
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (595) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (596) all_10_2 = e0
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (596) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (597) all_50_2 = e0
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (596) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (598) ~ (all_52_6 = e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (596) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (599) ~ (all_52_7 = e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (596) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (600) ~ (all_52_13 = e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (596) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | (601) op(e2, e2) = e0
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | (602) ~ (all_50_2 = e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (602) imply:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | (603) $false
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (603) is inconsistent.
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | (604) ( ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e0, e0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (604) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | (605) ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (605) implies:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | (606) op(e2, e0) = all_50_0
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (607) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (608) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (163), (394), (581), (608),
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #962.
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (609) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (397), (398), (574), (609),
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.94/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (610) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (610) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (611) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (611) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (612) implies:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) ~ (all_57_14 = e1)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) op(e1, e1) = all_57_14
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (613), (614), (function-axioms) are
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (615) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (616) implies:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) op(e1, e2) = e1
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (573), (617), (function-axioms) are
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (618) implies:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) ~ (all_57_15 = e0)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) op(e0, e0) = all_57_15
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) op(e0, e2) = e2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) op(e2, e0) = e2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (555), (620)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_57_15 = e1
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (621) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) all_52_7 = e2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (622) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_52_13 = e2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e0, e2, simplifying with (164), (606)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_52_13 = all_50_0
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (625), (626) imply:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) all_50_0 = e2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (624) imply:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) ~ (all_52_6 = e2)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_54_9 = e1
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (573), (629) are inconsistent by sub-proof
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #961.
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) ~ (all_54_9 = e1)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (631) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_54_9 = e2
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (628), (632) are inconsistent by sub-proof
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1143.
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) ~ (all_54_9 = e2)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) all_54_9 = e3 | all_54_9 = e0
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (634) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) all_54_9 = e3
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (635) imply:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) all_52_6 = e3
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (636) implies:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) all_52_6 = e3
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (637) imply:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) ~ (all_52_14 = e3)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (638) implies:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) ~ (all_52_14 = e3)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_56_2 = e3 & op(e2, e3) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (641) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) op(e2, e3) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (581), (642), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #989.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_56_3 = e3 & op(e2, e2) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (643) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) op(e2, e2) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (601), (644), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (645) gives:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_56_5 = e3 & op(e2, e1) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (212),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (230), (232), (234), (372),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398), (639), (646), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_56_10 = e3 & op(e2, e0) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (647) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) op(e2, e0) = e3
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (622), (648), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_54_9 = e0
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (598), (649) are inconsistent by sub-proof
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1141.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (650) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (553), (576), (599), (650),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #1309.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | (651) ~ (all_50_1 = e1) & op(e0, e0) = all_50_1 &
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (651) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | (652) ~ (all_50_1 = e1)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | (653) op(e0, e0) = all_50_1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (555), (652), (653), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1156.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | (654) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (654) gives:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | (655) all_56_4 = e1 & op(e3, e1) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (655) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | (656) op(e3, e1) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (574), (656), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | (657) all_56_9 = e1 & op(e3, e0) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (657) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | (658) all_56_9 = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | (659) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (659) gives:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (660) all_56_1 = e1 & op(e3, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (660) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (661) all_56_1 = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (662) op(e3, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (398),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (658), (661), (662), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #958.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (663) all_56_3 = e1 & op(e2, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (664) op(e2, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e1,
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (45), (664) gives:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (665) all_10_2 = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (665) imply:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (666) $false
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (666) is inconsistent.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | (667) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (667) gives:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (668) all_56_7 = e1 & op(e1, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (668) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (669) op(e1, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (573), (669), (function-axioms) are
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (670) all_56_13 = e1 & op(e0, e2) = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (671) all_56_13 = e1
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (208),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (228), (230), (232),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (234), (375), (398), (555), (671),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | | #966.
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | (672) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 160.04/23.16 | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 160.04/23.16 | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (550), (572), (672),
% 160.04/23.16 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.16 | | | | | | | | | | | | | | | | | | #957.
% 160.04/23.16 | | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | End of split
% 160.04/23.16 | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.16 | | | | | | | | | | | | | | | | |
% 160.04/23.16 | | | | | | | | | | | | | | | | | (673) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 160.04/23.16 | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (376), (566), (568), (673) are inconsistent
% 160.04/23.17 | | | | | | | | | | | | | | | | | by sub-proof #956.
% 160.04/23.17 | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | (674) all_26_2 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (674) imply:
% 160.04/23.17 | | | | | | | | | | | | | | | | (675) all_14_2 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | SIMP: (675) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | (676) all_14_2 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (676) imply:
% 160.04/23.17 | | | | | | | | | | | | | | | | (677) all_42_2 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | REDUCE: (359), (676) imply:
% 160.04/23.17 | | | | | | | | | | | | | | | | (678) ~ (all_52_6 = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | REDUCE: (364), (676) imply:
% 160.04/23.17 | | | | | | | | | | | | | | | | (679) ~ (all_52_11 = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | REDUCE: (366), (676) imply:
% 160.04/23.17 | | | | | | | | | | | | | | | | (680) ~ (all_52_14 = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | REDUCE: (51), (676) imply:
% 160.04/23.17 | | | | | | | | | | | | | | | | (681) op(e1, e1) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | BETA: splitting (546) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | (682) ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 160.04/23.17 | | | | | | | | | | | | | | | | | $i(all_22_0)
% 160.04/23.17 | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | ALPHA: (682) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | (683) ~ (all_22_0 = e2)
% 160.04/23.17 | | | | | | | | | | | | | | | | | (684) op(e0, e1) = all_22_0
% 160.04/23.17 | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | (685) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | BETA: splitting (685) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | (686) all_56_2 = e3 & op(e2, e3) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | ALPHA: (686) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | (687) all_56_2 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | (688) op(e2, e3) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | (689) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (398), (688), (689), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #988.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | (690) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | (691) all_56_6 = e1 & op(e1, e3) = e1
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | (692) op(e1, e3) = e1
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | (693) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (398), (687), (693), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1369.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | (694) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | (695) all_56_6 = e2 & op(e1, e3) = e2
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | (696) op(e1, e3) = e2
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (692), (696), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | (697) all_56_12 = e2 & op(e0, e3) = e2
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | (698) all_56_12 = e2
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | (699) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_56_4 = e3 & op(e3, e1) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (701) op(e3, e1) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (396), (701), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_56_5 = e3 & op(e2, e1) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (212),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (230), (232), (234), (372),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (398), (680), (702), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | (703) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (704) all_56_8 = e3 & op(e1, e1) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_56_8 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (706) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (706) gives:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) all_56_12 = e3 & op(e0, e3) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (707) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) all_56_12 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (698), (708) are inconsistent by sub-proof
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_56_13 = e3 & op(e0, e2) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_56_13 = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) op(e0, e2) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (79),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (106), (110), (112), (113), (117), (118),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (126), (128), (133), (134),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (141), (143), (145), (146),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (196), (198), (199), (200),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (206), (207), (208), (209),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (213), (214), (215), (217), (219),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (261), (268), (269), (270), (271), (272),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (291), (329), (347), (349), (350), (352), (356),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (367), (368), (370), (372), (373), (394),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (396), (398), (551), (552), (555), (564), (677),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (679), (680), (681), (683), (684), (705), (710),
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (711), (function-axioms) are inconsistent by
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #935.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (712) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (555), (679), (712), (function-axioms)
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #934.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (713) all_56_14 = e3 & op(e0, e1) = e3
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (679), (713), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | (714) all_56_12 = e1 & op(e0, e3) = e1
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (550), (714), (function-axioms) are
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.17 | | | | | | | | | | | | | | | | | | |
% 160.04/23.17 | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.17 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (715) all_56_3 = e3 & op(e2, e2) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | ALPHA: (715) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (716) op(e2, e2) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (375), (716), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1281.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | (717) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.04/23.18 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (718) all_56_5 = e3 & op(e2, e1) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (212),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (221), (222), (223), (230), (232), (234), (372),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (398), (680), (718), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (719) all_56_10 = e3 & op(e2, e0) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | ALPHA: (719) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (720) all_56_10 = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (721) op(e2, e0) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | (722) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (221), (222),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | (223), (396), (720), (722), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1282.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | (723) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | (724) all_56_8 = e3 & op(e1, e1) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (724) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | (725) all_56_8 = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | (726) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (230), (232),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | (234), (375), (398), (726), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1280.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | (727) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (728) all_56_7 = e3 & op(e1, e2) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (678), (728), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (729) all_56_13 = e3 & op(e0, e2) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (730) all_56_13 = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (731) op(e0, e2) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (39), (45), (79), (94), (106),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (118), (120), (121),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (123), (126), (128), (133), (134), (135), (136),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (139), (141), (143), (145), (146), (149), (157),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (189), (190), (193),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (199), (200), (201), (202),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (212),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (217), (219), (221), (222),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (238),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (239), (246), (247), (250), (258), (259), (261),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (271), (272), (291), (329),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (347), (349), (350), (352), (356), (358), (367),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (368), (370), (372), (373), (394), (396), (398),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (551), (552), (555), (564), (677), (679), (681),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (683), (684), (720), (721), (725), (730), (731),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | | #937.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | (732) all_56_14 = e3 & op(e0, e1) = e3
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (679), (732), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | (733) ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 160.04/23.18 | | | | | | | | | | | | | | | | | $i(all_22_1)
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | ALPHA: (733) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | (734) ~ (all_22_1 = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | (735) op(e1, e1) = all_22_1
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (681), (734), (735), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #933.
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | (736) all_24_2 = e2
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | COMBINE_EQS: (322), (736) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | (737) all_14_2 = e2
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | REDUCE: (348), (737) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | (738) ~ (all_52_2 = e2)
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | REDUCE: (361), (737) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | (739) ~ (all_52_8 = e2)
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | REDUCE: (362), (737) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | (740) ~ (all_52_9 = e2)
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | REDUCE: (364), (737) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | (741) ~ (all_52_11 = e2)
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | REDUCE: (51), (737) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | (742) op(e1, e1) = e2
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 160.04/23.18 | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | (743) ~ (all_38_2 = e1)
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | REDUCE: (549), (743) imply:
% 160.04/23.18 | | | | | | | | | | | | | | | | (744) $false
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | CLOSE: (744) is inconsistent.
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | (745) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 160.04/23.18 | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 160.04/23.18 | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | BETA: splitting (745) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | (746) ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 160.04/23.18 | | | | | | | | | | | | | | | | | $i(all_38_0)
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | ALPHA: (746) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | (747) ~ (all_38_0 = e3)
% 160.04/23.18 | | | | | | | | | | | | | | | | | (748) op(e0, e1) = all_38_0
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | (749) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 160.04/23.18 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | BETA: splitting (749) gives:
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (750) all_56_6 = e2 & op(e1, e3) = e2
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (738), (750), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (751) all_56_7 = e2 & op(e1, e2) = e2
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | ALPHA: (751) implies:
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (752) all_56_7 = e2
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (145),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (206), (207),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (213), (214), (216),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (217), (219), (220), (221), (222), (223), (225),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (231), (232), (233),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (234), (372), (375), (394), (396), (398), (738),
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | (739), (740), (742), (752), (function-axioms) are
% 160.04/23.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1020.
% 160.04/23.18 | | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.18 | | | | | | | | | | | | | | | | | |
% 160.04/23.18 | | | | | | | | | | | | | | | | | | (753) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 160.04/23.19 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 160.04/23.19 | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | BETA: splitting (753) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (754) all_56_8 = e2 & op(e1, e1) = e2
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | ALPHA: (754) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (755) all_56_8 = e2
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | all_38_0, e1, e0, simplifying with (157), (748)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (756) all_52_11 = all_38_0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (756) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (757) all_54_14 = all_38_0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (756) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (758) ~ (all_52_3 = all_38_0)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (756) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (759) ~ (all_52_8 = all_38_0)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | REDUCE: (118), (756) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (760) ~ (all_52_9 = all_38_0)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | REDUCE: (741), (756) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (761) ~ (all_38_0 = e2)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | REDUCE: (551), (756) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | (762) ~ (all_38_0 = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | (763) all_54_14 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (757), (762), (763) are inconsistent by sub-proof
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | #932.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | (764) ~ (all_54_14 = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | (765) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | (766) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (766) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | (767) all_56_4 = e3 & op(e3, e1) = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (767) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | (768) op(e3, e1) = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (396), (768), (function-axioms) are
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | (769) all_56_5 = e3 & op(e2, e1) = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | (770) all_56_5 = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | (771) op(e2, e1) = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | (772) all_54_14 = e2
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (757), (761), (772) are inconsistent by sub-proof
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | #931.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | (773) ~ (all_54_14 = e2)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | (774) all_54_14 = e3 | all_54_14 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | (775) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_56_2 = e1 & op(e2, e3) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (776) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_56_2 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (778) op(e2, e3) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (45), (159), (160), (163), (165),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (206), (208), (209), (216), (218),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (226), (227), (228),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (239), (373), (375), (394),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (397), (398), (553), (555), (740), (742), (747),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (755), (757), (758), (759), (761), (762), (771),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (774), (777), (778), (function-axioms) are
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #925.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_56_3 = e1 & op(e2, e2) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (779) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (780) op(e2, e2) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (780), (function-axioms) are
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | (781) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (781) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_56_5 = e1 & op(e2, e1) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (782) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (783) op(e2, e1) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (771), (783), (function-axioms) are
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_56_10 = e1 & op(e2, e0) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (784) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_56_10 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (786) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (786) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_56_4 = e1 & op(e3, e1) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (787) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_56_4 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (398), (770), (789),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1073.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_56_11 = e3 & op(e1, e0) = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (791) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_56_11 = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) op(e1, e0) = e3
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (794) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_56_0 = e0 & op(e3, e3) = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) op(e3, e3) = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (398), (796), (function-axioms) are
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_56_1 = e0 & op(e3, e2) = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (797) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_56_1 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (799) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_56_1 = e1 & op(e3, e2) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (800) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_56_1 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (801) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) e1 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (802) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) e1 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (803) imply:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_56_4 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (398),
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798), (804), (function-axioms) are inconsistent
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1111.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_56_3 = e1 & op(e2, e2) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (805) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) op(e2, e2) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (806), (function-axioms) are
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (807) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_56_7 = e1 & op(e1, e2) = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (808) implies:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_56_7 = e1
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (810) gives:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_56_6 = e0 & op(e1, e3) = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (811) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) op(e1, e3) = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (813) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_56_0 = e1 & op(e3, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (814) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) op(e3, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (398), (815), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_56_2 = e1 & op(e2, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (816) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_56_2 = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) op(e2, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (45), (159), (160), (163), (165),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (206), (208), (209), (216), (218),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (226), (227), (228),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (239), (373), (375), (394),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397), (398), (553), (555), (740), (742), (747),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755), (757), (758), (759), (761), (762), (771),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774), (817), (818), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #925.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (819) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_56_6 = e1 & op(e1, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (820) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) op(e1, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (812), (821), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_56_12 = e1 & op(e0, e3) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (550), (822), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_56_7 = e0 & op(e1, e2) = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (823) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_56_7 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (809), (824) imply:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) e1 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (825) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) e1 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (826) imply:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_56_4 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (398),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798), (827), (function-axioms) are inconsistent
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1111.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (160), (742), (793), (828),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #924.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_56_13 = e1 & op(e0, e2) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (829) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_56_13 = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (208),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (228), (230), (232),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (375), (398), (555), (830),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #966.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_56_4 = e0 & op(e3, e1) = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (788), (832) are inconsistent by sub-proof
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #923.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_56_9 = e0 & op(e3, e0) = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (833) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_56_9 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (555), (785), (792), (834),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #921.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_56_15 = e3 & op(e0, e0) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (835) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) op(e0, e0) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (555), (836), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_56_5 = e1 & op(e2, e1) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (837) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) op(e2, e1) = e1
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (771), (838), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (839) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (555), (755), (839), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #926.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | (840) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (840) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | (841) all_56_8 = e3 & op(e1, e1) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (841) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | (842) op(e1, e1) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (742), (842), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | (843) all_56_14 = e3 & op(e0, e1) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | (844) all_56_14 = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | (845) all_54_14 = e2
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (757), (761), (845) are inconsistent by sub-proof
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | #931.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | (846) ~ (all_54_14 = e2)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | (847) all_54_14 = e3 | all_54_14 = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (217), (742), (747), (757), (759),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | (760), (761), (844), (847), (function-axioms) are
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #919.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.20 | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | (848) all_56_11 = e2 & op(e1, e0) = e2
% 160.04/23.20 | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | ALPHA: (848) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | (849) all_56_11 = e2
% 160.04/23.20 | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | (850) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (850) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | (851) all_56_9 = e3 & op(e3, e0) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (851) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | (852) all_56_9 = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | (398), (852), (function-axioms) are inconsistent
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1295.
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | (853) all_56_10 = e3 & op(e2, e0) = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (853) implies:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | (854) all_56_10 = e3
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | (855) all_56_15 = e0 & op(e0, e0) = e0
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (855) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | (856) op(e0, e0) = e0
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (555), (856), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | (857) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (857) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | (858) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (858) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | (859) all_56_9 = e0 & op(e3, e0) = e0
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (859) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | (860) all_56_9 = e0
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | (861) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (861) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_56_0 = e2 & op(e3, e3) = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (862) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (863) op(e3, e3) = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (398), (863), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1395.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_56_1 = e2 & op(e3, e2) = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (864) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (865) op(e3, e2) = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (866) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (866) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_56_1 = e1 & op(e3, e2) = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (867) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) op(e3, e2) = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (865), (868), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) all_56_3 = e1 & op(e2, e2) = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (869) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) op(e2, e2) = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (870), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (871) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (871) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_56_7 = e1 & op(e1, e2) = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (872) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_56_7 = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (874) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_56_6 = e3 & op(e1, e3) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (875) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) op(e1, e3) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (394), (876), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_56_7 = e3 & op(e1, e2) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (877) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_56_7 = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (873), (878) imply:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) e3 = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (854), (879) imply:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_56_10 = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (211), (212), (230),
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (398), (555), (860), (880),
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #917.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (881) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_56_8 = e3 & op(e1, e1) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (882) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) op(e1, e1) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (742), (883), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_56_11 = e3 & op(e1, e0) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (849), (884) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #916.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_56_13 = e1 & op(e0, e2) = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (885) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_56_13 = e1
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (208),
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (228), (230), (232),
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (375), (398), (555), (886),
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | #966.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | (887) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (887) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (888) all_56_4 = e2 & op(e3, e1) = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (739), (888), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_56_9 = e2 & op(e3, e0) = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (889) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_56_9 = e2
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (860), (890) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | (891) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (891) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | (892) all_56_10 = e0 & op(e2, e0) = e0
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (854), (892) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | #1291.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | (893) all_56_11 = e0 & op(e1, e0) = e0
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (849), (893) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | | #1105.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | (894) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (894) gives:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | (895) all_56_11 = e3 & op(e1, e0) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | ALPHA: (895) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | (896) all_56_11 = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (849), (896) are inconsistent by sub-proof
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | #1072.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | (897) all_56_15 = e3 & op(e0, e0) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | ALPHA: (897) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | (898) op(e0, e0) = e3
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (555), (898), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | (899) ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 160.04/23.21 | | | | | | | | | | | | | | | | | $i(all_38_1)
% 160.04/23.21 | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | ALPHA: (899) implies:
% 160.04/23.21 | | | | | | | | | | | | | | | | | (900) ~ (all_38_1 = e2)
% 160.04/23.21 | | | | | | | | | | | | | | | | | (901) op(e1, e1) = all_38_1
% 160.04/23.21 | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (742), (900), (901), (function-axioms) are
% 160.04/23.21 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 160.04/23.21 | | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | End of split
% 160.04/23.21 | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | Case 2:
% 160.04/23.21 | | | | | | | | | | |
% 160.04/23.21 | | | | | | | | | | | (902) all_54_0 = e0
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | COMBINE_EQS: (279), (902) imply:
% 160.04/23.22 | | | | | | | | | | | (903) all_4_2 = e0
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | REDUCE: (378), (903) imply:
% 160.04/23.22 | | | | | | | | | | | (904) $false
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | CLOSE: (904) is inconsistent.
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | End of split
% 160.04/23.22 | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | End of split
% 160.04/23.22 | | | | | | | | |
% 160.04/23.22 | | | | | | | | End of split
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | Case 2:
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | (905) all_20_2 = e1
% 160.04/23.22 | | | | | | | | (906) ( ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 160.04/23.22 | | | | | | | | $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e1, e1) =
% 160.04/23.22 | | | | | | | | all_20_1 & $i(all_20_1))
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | COMBINE_EQS: (300), (905) imply:
% 160.04/23.22 | | | | | | | | (907) all_4_2 = e1
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | SIMP: (907) implies:
% 160.04/23.22 | | | | | | | | (908) all_4_2 = e1
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | COMBINE_EQS: (328), (908) imply:
% 160.04/23.22 | | | | | | | | (909) all_30_2 = e1
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (336), (908) imply:
% 160.04/23.22 | | | | | | | | (910) ~ (all_52_1 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (338), (908) imply:
% 160.04/23.22 | | | | | | | | (911) ~ (all_52_2 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (340), (908) imply:
% 160.04/23.22 | | | | | | | | (912) ~ (all_52_3 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (342), (908) imply:
% 160.04/23.22 | | | | | | | | (913) ~ (all_52_4 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (344), (908) imply:
% 160.04/23.22 | | | | | | | | (914) ~ (all_52_8 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (346), (908) imply:
% 160.04/23.22 | | | | | | | | (915) ~ (all_52_12 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | REDUCE: (371), (908) imply:
% 160.04/23.22 | | | | | | | | (916) ~ (e2 = e1)
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | BETA: splitting (231) gives:
% 160.04/23.22 | | | | | | | |
% 160.04/23.22 | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | |
% 160.04/23.22 | | | | | | | | | (917) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 160.04/23.22 | | | | | | | | | op(e2, e3) = e1)
% 160.04/23.22 | | | | | | | | |
% 160.04/23.22 | | | | | | | | | BETA: splitting (917) gives:
% 160.04/23.22 | | | | | | | | |
% 160.04/23.22 | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | (918) all_56_0 = e1 & op(e3, e3) = e1
% 160.04/23.22 | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | ALPHA: (918) implies:
% 160.04/23.22 | | | | | | | | | | (919) all_56_0 = e1
% 160.04/23.22 | | | | | | | | | | (920) op(e3, e3) = e1
% 160.04/23.22 | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | BETA: splitting (64) gives:
% 160.04/23.22 | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | (921) ~ (all_22_2 = e1)
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | REDUCE: (310), (921) imply:
% 160.04/23.22 | | | | | | | | | | | (922) ~ (all_6_2 = e1)
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | BETA: splitting (67) gives:
% 160.04/23.22 | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | (923) ~ (all_24_2 = e2)
% 160.04/23.22 | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | REDUCE: (322), (923) imply:
% 160.04/23.22 | | | | | | | | | | | | (924) ~ (all_14_2 = e2)
% 160.04/23.22 | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | BETA: splitting (70) gives:
% 160.04/23.22 | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | (925) ~ (all_26_2 = e3)
% 160.04/23.22 | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | REDUCE: (303), (925) imply:
% 160.04/23.22 | | | | | | | | | | | | | (926) ~ (all_14_2 = e3)
% 160.04/23.22 | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 160.04/23.22 | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | (927) all_54_10 = e1
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | COMBINE_EQS: (334), (927) imply:
% 160.04/23.22 | | | | | | | | | | | | | | (928) all_14_2 = e1
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | REDUCE: (359), (928) imply:
% 160.04/23.22 | | | | | | | | | | | | | | (929) ~ (all_52_6 = e1)
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | REDUCE: (364), (928) imply:
% 160.04/23.22 | | | | | | | | | | | | | | (930) ~ (all_52_11 = e1)
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | REDUCE: (366), (928) imply:
% 160.04/23.22 | | | | | | | | | | | | | | (931) ~ (all_52_14 = e1)
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | REDUCE: (926), (928) imply:
% 160.04/23.22 | | | | | | | | | | | | | | (932) ~ (e3 = e1)
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | REDUCE: (51), (928) imply:
% 160.04/23.22 | | | | | | | | | | | | | | (933) op(e1, e1) = e1
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.04/23.22 | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | (934) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.04/23.22 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | BETA: splitting (934) gives:
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | (935) all_56_1 = e1 & op(e3, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 160.04/23.22 | | | | | | | | | | | | | | | | (159), (207), (225), (227), (228), (375), (912),
% 160.04/23.22 | | | | | | | | | | | | | | | | (922), (930), (935), (function-axioms) are
% 160.04/23.22 | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | Case 2:
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | (936) all_56_3 = e1 & op(e2, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | ALPHA: (936) implies:
% 160.04/23.22 | | | | | | | | | | | | | | | | (937) op(e2, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (937), (function-axioms) are
% 160.04/23.22 | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | End of split
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | Case 2:
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | (938) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.04/23.22 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 160.04/23.22 | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | (939) all_56_7 = e1 & op(e1, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | ALPHA: (939) implies:
% 160.04/23.22 | | | | | | | | | | | | | | | | (940) op(e1, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (929), (940), (function-axioms) are
% 160.04/23.22 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | Case 2:
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | (941) all_56_13 = e1 & op(e0, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | ALPHA: (941) implies:
% 160.04/23.22 | | | | | | | | | | | | | | | | (942) all_56_13 = e1
% 160.04/23.22 | | | | | | | | | | | | | | | | (943) op(e0, e2) = e1
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.04/23.22 | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | Case 1:
% 160.04/23.22 | | | | | | | | | | | | | | | | |
% 160.04/23.22 | | | | | | | | | | | | | | | | | (944) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.04/23.22 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.04/23.22 | | | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (45), (73), (76),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (79), (85), (110), (112), (113), (117), (121),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (125), (128), (141), (144), (145), (149), (157),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (189), (199), (206),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (212), (213), (214),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (223), (224),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (225), (226), (228), (229), (230), (231), (232),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (246),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (268), (314), (329), (330), (347), (349), (350),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (352), (356), (358), (368), (369), (370), (372),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (375), (909), (911), (914), (915), (919), (920),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (933), (942), (943), (944), (function-axioms) are
% 160.37/23.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #839.
% 160.37/23.22 | | | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.22 | | | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | | | (945) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.37/23.22 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.37/23.22 | | | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (922), (931), (945),
% 160.37/23.22 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.22 | | | | | | | | | | | | | | | | | #838.
% 160.37/23.22 | | | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | | End of split
% 160.37/23.22 | | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | End of split
% 160.37/23.22 | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | End of split
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | Case 2:
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | (946) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | REF_CLOSE: (334), (376), (924), (926), (946) are inconsistent
% 160.37/23.22 | | | | | | | | | | | | | | by sub-proof #956.
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | End of split
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | Case 2:
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | (947) all_26_2 = e3
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | COMBINE_EQS: (303), (947) imply:
% 160.37/23.22 | | | | | | | | | | | | | (948) all_14_2 = e3
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | COMBINE_EQS: (332), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (949) all_42_2 = e3
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | REDUCE: (348), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (950) ~ (all_52_2 = e3)
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | REDUCE: (359), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (951) ~ (all_52_6 = e3)
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | REDUCE: (361), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (952) ~ (all_52_8 = e3)
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | REDUCE: (362), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (953) ~ (all_52_9 = e3)
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | REDUCE: (364), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (954) ~ (all_52_11 = e3)
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | REDUCE: (366), (948) imply:
% 160.37/23.22 | | | | | | | | | | | | | (955) ~ (all_52_14 = e3)
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | BETA: splitting (216) gives:
% 160.37/23.22 | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | Case 1:
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | (956) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 160.37/23.22 | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (950), (951), (956),
% 160.37/23.22 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.22 | | | | | | | | | | | | | | #837.
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | Case 2:
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | (957) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 160.37/23.22 | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 160.37/23.22 | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | Case 1:
% 160.37/23.22 | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | (958) all_56_8 = e3 & op(e1, e1) = e3
% 160.37/23.22 | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | ALPHA: (958) implies:
% 160.37/23.22 | | | | | | | | | | | | | | | (959) all_56_8 = e3
% 160.37/23.22 | | | | | | | | | | | | | | | (960) op(e1, e1) = e3
% 160.37/23.22 | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 160.37/23.22 | | | | | | | | | | | | | | |
% 160.37/23.22 | | | | | | | | | | | | | | | Case 1:
% 160.37/23.22 | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | (961) ~ (all_28_2 = e0)
% 160.37/23.23 | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | REDUCE: (314), (961) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | (962) ~ (all_10_2 = e0)
% 160.37/23.23 | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | (963) all_54_5 = e1
% 160.37/23.23 | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (963) are inconsistent by sub-proof
% 160.37/23.23 | | | | | | | | | | | | | | | | | #1418.
% 160.37/23.23 | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | (964) ~ (all_54_5 = e1)
% 160.37/23.23 | | | | | | | | | | | | | | | | | (965) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 160.37/23.23 | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | BETA: splitting (965) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (966) all_54_5 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (966) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (967) all_10_2 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | SIMP: (967) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (968) all_10_2 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | REDUCE: (347), (968) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (969) ~ (all_52_1 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | REDUCE: (350), (968) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (970) ~ (all_52_4 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | REDUCE: (356), (968) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (971) ~ (all_52_9 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | REDUCE: (358), (968) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (972) ~ (all_52_13 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | REDUCE: (45), (968) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | (973) op(e2, e2) = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | (974) ~ (all_30_2 = e1)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | REDUCE: (909), (974) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | (975) $false
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | CLOSE: (975) is inconsistent.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | (976) ( ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e1, e1)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (977) ~ (all_32_2 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (977) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (978) ~ (all_6_2 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (979) all_54_15 = e1
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (979) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (980) all_6_2 = e1
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (980) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (981) $false
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | CLOSE: (981) is inconsistent.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (982) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (982) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (983) all_54_15 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (983) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (984) all_6_2 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (978), (984) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (985) $false
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (985) is inconsistent.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (986) all_54_15 = e3 | all_54_15 = e0
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (987) all_54_15 = e3
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (987) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (988) all_6_2 = e3
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (988) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (989) $false
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (989) is inconsistent.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (990) all_54_15 = e0
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (990) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (991) all_6_2 = e0
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (991) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (992) ~ (all_52_3 = e0)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (991) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (993) ~ (all_52_7 = e0)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (991) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (994) ~ (all_52_14 = e0)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (991) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (995) op(e0, e0) = e0
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (163), (164), (165), (167),
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (169), (239), (914), (950), (969), (971), (972),
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (973), (992), (993), (994), (995),
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | #836.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (996) all_32_2 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (996) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (997) all_6_2 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (997) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (998) ~ (all_52_7 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (997) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (999) ~ (e3 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (997) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | (1000) op(e0, e0) = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (1001) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (920), (970), (1001),
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | #835.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | (1002) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1002) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (1003) all_56_4 = e2 & op(e3, e1) = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1003) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (1004) all_56_4 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | (1005) op(e3, e1) = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | (1006) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1006) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_56_6 = e2 & op(e1, e3) = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1007) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_56_6 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1009) op(e1, e3) = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1009) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_52_2 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1005) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_52_8 = e2
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1010) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1012) ~ (all_52_3 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1013) ~ (all_52_3 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1010) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1014) ~ (all_52_6 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1014) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (all_52_6 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1010) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1016) ~ (all_52_14 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1016) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1017) ~ (all_52_14 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1011) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1018) ~ (all_52_9 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1011) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1019) ~ (all_52_11 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1019) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1020) ~ (all_52_11 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1011) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1021) ~ (all_52_12 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1021) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | (1022) ~ (all_52_12 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | (1023) ~ (all_42_2 = e3)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (949), (1023) imply:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | (1024) $false
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1024) is inconsistent.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | (1025) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (976) gives:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1026) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) ~ (all_30_0 = e2)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) op(e3, e1) = all_30_0
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1005), (1027), (1028), (function-axioms) are
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #898.
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) ~ (all_30_1 = e0) & op(e1, e1) = all_30_1 &
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1029) implies:
% 160.37/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) ~ (all_30_1 = e0)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) op(e1, e1) = all_30_1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_54_9 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1032) imply:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_52_6 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1033) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_52_6 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1034) imply:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) ~ (all_52_7 = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1035) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) ~ (all_52_7 = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1034) imply:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) ~ (all_52_14 = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1037) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) ~ (all_52_14 = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (951), (1034) imply:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) ~ (e3 = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_54_11 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1038), (1040) are inconsistent by
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) ~ (all_54_11 = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1042) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_54_11 = e2
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1017), (1043) are inconsistent by
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_54_11 = e3 | all_54_11 = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1045) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_56_6 = e1 & op(e1, e3) = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1046) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) op(e1, e3) = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (911), (1047), (function-axioms) are
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_56_7 = e1 & op(e1, e2) = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1048) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_56_7 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1050) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_56_6 = e0 & op(e1, e3) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1008), (1051) are inconsistent by sub-proof
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1383.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_56_7 = e0 & op(e1, e2) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1052) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_56_7 = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1049), (1053) are inconsistent by sub-proof
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #834.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_56_8 = e0 & op(e1, e1) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1055) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) op(e1, e1) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1030), (1031), (1056), (function-axioms) are
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_56_11 = e0 & op(e1, e0) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1057) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) op(e1, e0) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_56_12 = e1 & op(e0, e3) = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (912), (1060), (function-axioms) are
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_56_13 = e1 & op(e0, e2) = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1061) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_56_13 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) op(e0, e2) = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_56_1 = e0 & op(e3, e2) = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_56_1 = e0
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1067) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_56_0 = e3 & op(e3, e3) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1068) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) op(e3, e3) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (268), (270), (271), (272), (291), (314),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (347), (349), (350), (352), (356), (358),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367), (368), (369), (370), (372), (373), (375),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922), (949), (950), (951), (952), (954), (955),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069), (function-axioms) are inconsistent by
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1096.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_56_1 = e3 & op(e3, e2) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1070) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_56_1 = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1066), (1071) are inconsistent by sub-proof
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #884.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1072) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_56_4 = e3 & op(e3, e1) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1073) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) op(e3, e1) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (952), (1074), (function-axioms) are
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_56_9 = e3 & op(e3, e0) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1075) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_56_9 = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (45), (973), (1066), (1077),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #883.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1078) gives:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_56_7 = e3 & op(e1, e2) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (951), (1079), (function-axioms) are
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_56_13 = e3 & op(e0, e2) = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1080) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_56_13 = e3
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1062), (1081) imply:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) e3 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) e3 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1076), (1083) imply:
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_56_9 = e1
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (920), (1005), (1066),
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084), (function-axioms) are inconsistent by
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #831.
% 160.37/23.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_56_3 = e0 & op(e2, e2) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1085) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) op(e2, e2) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (973), (1086), (function-axioms) are
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) all_56_7 = e0 & op(e1, e2) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1049), (1088) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #830.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_56_13 = e0 & op(e0, e2) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1089) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) op(e0, e2) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1063), (1090), (function-axioms) are
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_56_14 = e1 & op(e0, e1) = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1092) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_56_14 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1094) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) all_56_4 = e0 & op(e3, e1) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1095) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_56_4 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1004), (1096) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_56_5 = e0 & op(e2, e1) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1097) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_56_5 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1099) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_56_2 = e1 & op(e2, e3) = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1100) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_56_2 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (920),
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008), (1101), (function-axioms) are inconsistent
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #826.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_56_3 = e1 & op(e2, e2) = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1102) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) op(e2, e2) = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (973), (1103), (function-axioms) are
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1104) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_56_5 = e1 & op(e2, e1) = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1105) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_56_5 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1098), (1106) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #825.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_56_10 = e1 & op(e2, e0) = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1107) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) all_56_10 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_56_9 = e3 & op(e3, e0) = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1110) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) op(e3, e0) = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_56_0 = e0 & op(e3, e3) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) op(e3, e3) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (920), (1114), (function-axioms) are
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_56_1 = e0 & op(e3, e2) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1115) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_56_1 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_56_15 = e0 & op(e0, e0) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1117) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) op(e0, e0) = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1000), (1118), (function-axioms) are
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1119) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_54_11 = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (955), (1121) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1117.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) all_54_11 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1122) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_52_14 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1123) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_52_14 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1124) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) ~ (all_52_12 = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1124) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) ~ (all_52_13 = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (955), (1124) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) ~ (e3 = e0)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_54_3 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (915), (1128) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (45), (973), (1116), (1130),
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #883.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1131) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_56_7 = e3 & op(e1, e2) = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (951), (1132), (function-axioms) are
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) all_56_13 = e3 & op(e0, e2) = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1133) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_56_13 = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) op(e0, e2) = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1129) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_54_3 = e2
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1022), (1136) are inconsistent by
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1193.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) ~ (all_54_3 = e2)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_54_3 = e3 | all_54_3 = e0
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_54_3 = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1139) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_52_12 = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1140) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_52_12 = e3
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1141) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) ~ (all_52_4 = e3)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1141) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) ~ (all_52_13 = e3)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1143) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) ~ (all_52_13 = e3)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_54_7 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1145) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_52_13 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1146) implies:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) all_52_13 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1147) imply:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_52_9 = e1)
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_54_1 = e1
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (913), (1149) are inconsistent by sub-proof
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) ~ (all_54_1 = e1)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_54_6 = e1
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1148), (1152) are inconsistent by
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1153) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_54_6 = e2
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (971), (1154) are inconsistent by sub-proof
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #822.
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) ~ (all_54_6 = e2)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_54_6 = e3 | all_54_6 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_54_1 = e2
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (970), (1157) are inconsistent by sub-proof
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #821.
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) ~ (all_54_1 = e2)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) all_54_1 = e3 | all_54_1 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_54_1 = e3
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1142), (1160) are inconsistent by
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #820.
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) all_54_1 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1161) imply:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_52_4 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1162) implies:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_52_4 = e0
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1163) imply:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) ~ (all_52_7 = e0)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1164) implies:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) ~ (all_52_7 = e0)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (1163) imply:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) ~ (e2 = e0)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1163) imply:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) ~ (e1 = e0)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1168) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1170) implies:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) op(e2, e3) = e2
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (969), (1171), (function-axioms) are
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (911), (1142), (1172),
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1155.
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1173) gives:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1174) implies:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1000), (1135), (1175), (function-axioms) are
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1258.
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1176) gives:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1177) implies:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) op(e3, e1) = e3
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (952), (1178), (function-axioms) are
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1179) implies:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) op(e2, e2) = e1
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (973), (1180), (function-axioms) are
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.37/23.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1181) gives:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1182) gives:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1183) implies:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) op(e3, e3) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (920), (1184), (function-axioms) are
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1185) gives:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1186) implies:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) op(e3, e3) = e3
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (170), (238),
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (375), (960), (962), (965), (973), (1000),
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009), (1025), (1135), (1142), (1187),
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1248.
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1188) implies:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) op(e2, e2) = e0
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (973), (1189), (function-axioms) are
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1190) gives:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1191) implies:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1000), (1135), (1192), (function-axioms) are
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1258.
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1193) gives:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1194) implies:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (920), (1005), (1195), (function-axioms) are
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #892.
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1196) implies:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1156) gives:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_54_6 = e3
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (953), (1198) are inconsistent by sub-proof
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1161.
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_54_6 = e0
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1199) imply:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_52_9 = e0
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1200) implies:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_52_9 = e0
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1201) imply:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) ~ (all_52_11 = e0)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1202) implies:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) ~ (all_52_11 = e0)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1204) gives:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1205) gives:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1206) implies:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) ~ (all_57_12 = e2)
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) op(e2, e2) = all_57_12
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (973), (1207), (1208), (function-axioms) are
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1209) gives:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1210) implies:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) op(e2, e3) = e2
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (969), (1211), (function-axioms) are
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1212) implies:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) op(e1, e3) = e3
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (148), (149), (157), (159), (163),
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (269), (347), (910), (973), (1120), (1134),
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203), (1213), (function-axioms) are inconsistent
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #818.
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1215) implies:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e3, e1) = e1
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1005), (1216), (function-axioms) are
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1217) gives:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1218) implies:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) ~ (all_57_15 = e0)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) op(e0, e0) = all_57_15
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1223) implies:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) (all_57_1 = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (960), (1009), (1224), (function-axioms) are
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1255.
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) op(e0, e2) = e0
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1000), (1220), (1221), (1226), (function-axioms)
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1228) implies:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (920), (1005), (1229), (function-axioms) are
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #892.
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1230) gives:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1231) implies:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) op(e1, e0) = e1
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1038), (1232), (function-axioms) are
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_57_15 = e0
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1219), (1234) imply:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) $false
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1235) is inconsistent.
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1236) implies:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) op(e3, e0) = e0
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1125), (1237), (function-axioms) are
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1121.
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1240) implies:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) op(e2, e1) = e2
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (971), (1241), (function-axioms) are
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1243) implies:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) ~ (all_57_12 = e2)
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) op(e2, e2) = all_57_12
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (973), (1244), (1245), (function-axioms) are
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1246) implies:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) op(e0, e2) = e2
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (191), (248), (998), (1036), (1165),
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247), (function-axioms) are inconsistent by
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #817.
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1249) implies:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) op(e0, e2) = e0
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1165), (1250), (function-axioms) are
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (1038), (1203), (1251),
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (972), (1126), (1144), (1252) are
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #811.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_54_3 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1125), (1253) are inconsistent by
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #810.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1254) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_56_4 = e0 & op(e3, e1) = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1004), (1255) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_56_9 = e0 & op(e3, e0) = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1256) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) op(e3, e0) = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1111), (1257), (function-axioms) are
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_56_10 = e3 & op(e2, e0) = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1258) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_56_10 = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1108), (1259) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (1000), (1058), (1260),
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #841.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1261) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_56_8 = e0 & op(e1, e1) = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1262) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) op(e1, e1) = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1030), (1031), (1263), (function-axioms) are
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_56_14 = e0 & op(e0, e1) = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1093), (1264) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1041.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_56_15 = e1 & op(e0, e0) = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1265) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) op(e0, e0) = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1000), (1266), (function-axioms) are
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (960), (1038), (1267),
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_54_9 = e1)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (1268) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) ~ (all_52_6 = e1)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1269) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_54_9 = e2
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1015), (1271) are inconsistent by
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_54_9 = e3 | all_54_9 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1272) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_54_9 = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (951), (1273) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1142.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_54_9 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1274) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_52_6 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1275) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_52_6 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1276) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_52_4 = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1276) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) ~ (all_52_7 = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1278) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_52_7 = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1276) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (all_52_14 = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ~ (all_52_14 = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_54_1 = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (913), (1282) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1283) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_54_1 = e2
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (970), (1284) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #821.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_54_1 = e3 | all_54_1 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_54_1 = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1286) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_52_4 = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1287) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_52_4 = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1288) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) ~ (all_52_7 = e3)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1289) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) ~ (all_52_7 = e3)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1288) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_52_12 = e3)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1291) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_52_12 = e3)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_54_13 = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1293) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_52_7 = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1294) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_52_7 = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1295) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) ~ (all_52_11 = e1)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1296) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) ~ (all_52_11 = e1)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_54_14 = e1
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1297), (1298) are inconsistent by
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) ~ (all_54_14 = e1)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1300) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_54_14 = e2
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1020), (1301) are inconsistent by
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_54_14 = e3 | all_54_14 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_54_14 = e3
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (954), (1303) are inconsistent by sub-proof
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1188.
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_54_14 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1304) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_52_11 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1305) implies:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_52_11 = e0
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1306) imply:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) ~ (all_52_3 = e0)
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1308) gives:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (167), (192), (249), (912), (969),
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973), (1013), (1307), (1309), (function-axioms)
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #803.
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1310) gives:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1311) implies:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) op(e3, e1) = e1
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1005), (1312), (function-axioms) are
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (1292), (1307), (1313),
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1277.
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1314) gives:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (165), (971), (972), (1270), (1315),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (160), (1279), (1281), (1297),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316), (function-axioms) are inconsistent by
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #802.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (998), (1279), (1290), (1317) are
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_54_1 = e0
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1277), (1318) are inconsistent by
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #799.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_56_7 = e2 & op(e1, e2) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1319) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_56_7 = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (225),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (951), (973), (1320),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | #795.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | (1321) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1321) gives:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_56_8 = e2 & op(e1, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1322) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1323) op(e1, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (960), (1323), (function-axioms) are
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_56_11 = e2 & op(e1, e0) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_56_11 = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1326) op(e1, e0) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (206),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (915), (1000), (1325), (1326),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | #794.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | (1327) all_56_9 = e2 & op(e3, e0) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1327) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | (1328) all_56_9 = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | (1329) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1329) gives:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_56_4 = e2 & op(e3, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1330) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_56_4 = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1332) op(e3, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (920),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1328), (1331), (1332), (function-axioms) are
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #854.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_56_5 = e2 & op(e2, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1333) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1334) op(e2, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (971), (1334), (function-axioms) are
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | (1335) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_56_8 = e2 & op(e1, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1336) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1337) op(e1, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (960), (1337), (function-axioms) are
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_56_14 = e2 & op(e0, e1) = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1338) implies:
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_56_14 = e2
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (207),
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (209), (912), (1000), (1339), (function-axioms)
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #792.
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.36 | | | | | | | | | | | | | | | | | |
% 160.60/23.36 | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.36 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | (1340) all_54_5 = e3 | all_54_5 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (962), (1340) are inconsistent by
% 160.60/23.37 | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | End of split
% 160.60/23.37 | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | End of split
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | (1341) all_28_2 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (1341) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1342) all_10_2 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | SIMP: (1342) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1343) all_10_2 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | REDUCE: (347), (1343) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1344) ~ (all_52_1 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | REDUCE: (354), (1343) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1345) ~ (all_52_7 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | REDUCE: (356), (1343) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1346) ~ (all_52_9 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | REDUCE: (375), (1343) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1347) ~ (e3 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | REDUCE: (373), (1343) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1348) ~ (e1 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | REDUCE: (45), (1343) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | (1349) op(e2, e2) = e0
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | (1350) ~ (all_32_2 = e2)
% 160.60/23.37 | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | REDUCE: (329), (1350) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | (1351) ~ (all_6_2 = e2)
% 160.60/23.37 | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | (1352) all_54_15 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (922), (1352) are inconsistent by sub-proof
% 160.60/23.37 | | | | | | | | | | | | | | | | | | #1396.
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | (1353) ~ (all_54_15 = e1)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | (1354) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | (1355) all_54_15 = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1351), (1355) are inconsistent by
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | (1356) all_54_15 = e3 | all_54_15 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (1356) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1357) all_54_15 = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (1357) are inconsistent by sub-proof
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | #1378.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1358) all_54_15 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1358) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1359) all_6_2 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | SIMP: (1359) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1360) all_6_2 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (1360) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1361) ~ (all_52_3 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (1360) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1362) ~ (all_52_11 = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1360) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | (1363) op(e0, e0) = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | (1364) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1364) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | (1365) all_56_4 = e0 & op(e3, e1) = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1365) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | (1366) all_56_4 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | (1367) op(e3, e1) = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | (1368) all_54_6 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1368) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | (1369) all_52_9 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1369) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | (1370) all_52_9 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1370) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | (1371) ~ (all_52_11 = e1)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1371) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | (1372) ~ (all_52_11 = e1)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (953), (1370) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | (1373) ~ (e3 = e1)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_54_14 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1372), (1374) are inconsistent by
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | (1375) ~ (all_54_14 = e1)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1376) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_54_14 = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1377) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_52_11 = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_52_11 = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1379) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (1380) ~ (all_52_3 = e2)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1379) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (1381) ~ (all_52_7 = e2)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (954), (1379) imply:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (1382) ~ (e3 = e2)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1383) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_56_4 = e1 & op(e3, e1) = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1384) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) op(e3, e1) = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (914), (1385), (function-axioms) are
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_56_5 = e1 & op(e2, e1) = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1386) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_56_5 = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) op(e2, e1) = e1
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1389) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_56_12 = e2 & op(e0, e3) = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1390) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_56_12 = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1392) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_56_0 = e3 & op(e3, e3) = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1393) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) op(e3, e3) = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (268), (270), (271), (272), (291), (314),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (347), (349), (350), (352), (356), (358),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367), (368), (369), (370), (372), (373), (375),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922), (949), (950), (951), (952), (954), (955),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394), (function-axioms) are inconsistent by
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1096.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_56_2 = e3 & op(e2, e3) = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1395) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_56_2 = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (160),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (168), (206), (207), (208), (209), (210),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (223), (228), (234), (912), (915),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920), (951), (955), (1349), (1362), (1363),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366), (1372), (1387), (1396), (function-axioms)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #781.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_56_6 = e3 & op(e1, e3) = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1398) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) op(e1, e3) = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (192), (249), (912), (1361), (1380),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399), (function-axioms) are inconsistent by
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #804.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_56_12 = e3 & op(e0, e3) = e3
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1391), (1400) are inconsistent by sub-proof
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1233.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_56_13 = e2 & op(e0, e2) = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1401) implies:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_56_13 = e2
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (157), (159), (207), (912), (1363),
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372), (1402), (function-axioms) are inconsistent
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #780.
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1403) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_56_14 = e2 & op(e0, e1) = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1404) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_56_14 = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1406) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_56_2 = e3 & op(e2, e3) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1407) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_56_2 = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (160),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (168), (206), (207), (208), (209), (210),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (223), (228), (234), (912), (915),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920), (951), (955), (1349), (1362), (1363),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366), (1372), (1387), (1408), (function-axioms)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #781.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_56_3 = e3 & op(e2, e2) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1409) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) op(e2, e2) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1349), (1410), (function-axioms) are
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_56_5 = e3 & op(e2, e1) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) op(e2, e1) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (1388), (1413), (function-axioms) are
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_56_10 = e3 & op(e2, e0) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1414) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_56_10 = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) op(e2, e0) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (168),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (375), (915), (1387), (1388),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417), (function-axioms) are inconsistent by
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1418) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_56_11 = e1 & op(e1, e0) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1419) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) op(e1, e0) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_54_12 = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (912), (1421) are inconsistent by sub-proof
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) ~ (all_54_12 = e1)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1424) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_56_9 = e2 & op(e3, e0) = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1425) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_56_9 = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_56_0 = e3 & op(e3, e3) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) op(e3, e3) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (228),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (236),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (247), (250), (258), (261),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (270), (271), (272), (291), (314), (329),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (349), (350), (352), (356), (358), (367),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (369), (370), (373), (375), (922), (949),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950), (951), (952), (959), (960), (1415), (1416),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429), (function-axioms) are inconsistent by
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1100.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_56_1 = e3 & op(e3, e2) = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1430) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_56_1 = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_56_1 = e2 & op(e3, e2) = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1431), (1433) are inconsistent by sub-proof
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1344.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_56_3 = e2 & op(e2, e2) = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1434) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) op(e2, e2) = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1349), (1435), (function-axioms) are
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1436) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_56_7 = e2 & op(e1, e2) = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1437) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_56_7 = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_56_1 = e1 & op(e3, e2) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (157),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (207), (225), (227), (228), (375), (912),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922), (1372), (1440), (function-axioms) are
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_56_3 = e1 & op(e2, e2) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) op(e2, e2) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1349), (1442), (function-axioms) are
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_56_7 = e1 & op(e1, e2) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_56_7 = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1438), (1445) imply:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) e2 = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1426), (1446) imply:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_56_9 = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (160), (211), (1363), (1415),
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420), (1447), (function-axioms) are inconsistent
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #789.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_56_13 = e1 & op(e0, e2) = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1448) implies:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_56_13 = e1
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1423) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_54_12 = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1450) imply:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_52_3 = e2
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1380), (1451) imply:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) $false
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1452) is inconsistent.
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_54_12 = e3 | all_54_12 = e0
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1453) gives:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_54_12 = e3
% 160.60/23.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1454) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_52_3 = e3
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1455) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (all_52_1 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1455) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (all_52_7 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1457) implies:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) ~ (all_52_7 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_54_13 = e1
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1459) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_52_7 = e1
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1460) implies:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_52_7 = e1
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1461) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) ~ (all_52_6 = e1)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_54_4 = e1
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (910), (1463) are inconsistent by sub-proof
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) ~ (all_54_4 = e1)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1465) gives:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_54_4 = e2
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1466) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_52_1 = e2
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1467) implies:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_52_1 = e2
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1468) imply:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) ~ (all_52_13 = e2)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1469) implies:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) ~ (all_52_13 = e2)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1471) gives:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (163), (911), (920), (1349), (1472),
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #774.
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1474) implies:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) op(e1, e2) = e1
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1462), (1475), (function-axioms) are
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (952), (1349), (1476),
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #773.
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1477) gives:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1478) gives:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1479) implies:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) op(e3, e3) = e0
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (920), (1480), (function-axioms) are
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1481) gives:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1482) implies:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) op(e3, e3) = e3
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (228),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (236),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (247), (250), (258), (261),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (270), (271), (272), (291), (314), (329),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (349), (350), (352), (356), (358), (367),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (369), (370), (373), (375), (922), (949),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950), (951), (952), (959), (960), (1415), (1416),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483), (function-axioms) are inconsistent by
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1100.
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) op(e2, e0) = e2
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1470), (1485), (function-axioms) are
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1486) gives:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1487) implies:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) op(e2, e2) = e2
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (225),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (1438), (1449), (1462), (1488),
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (159), (164), (920), (1345), (1349),
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361), (1367), (1470), (1489), (function-axioms)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #769.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_54_4 = e3 | all_54_4 = e0
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1344), (1456), (1490) are inconsistent by
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1314.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1345), (1381), (1458), (1491) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_54_12 = e0
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1492) imply:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_52_3 = e0
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1361), (1493) imply:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) $false
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1494) is inconsistent.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_56_13 = e2 & op(e0, e2) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1495) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_56_13 = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) op(e0, e2) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1498) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_56_12 = e3 & op(e0, e3) = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1499) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_56_12 = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1501) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_56_12 = e1 & op(e0, e3) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (912), (1502), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_56_13 = e1 & op(e0, e2) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1503) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_56_13 = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1496), (1504) imply:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) e2 = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1505) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) e2 = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1426), (1506) imply:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_56_9 = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (160), (211), (1363), (1415),
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420), (1507), (function-axioms) are inconsistent
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #789.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_56_14 = e1 & op(e0, e1) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1509) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) op(e0, e1) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1372), (1510), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_56_15 = e1 & op(e0, e0) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1511) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) op(e0, e0) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (206), (1362), (1496),
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500), (1512), (function-axioms) are inconsistent
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #766.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_56_13 = e3 & op(e0, e2) = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1513) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) op(e0, e2) = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1497), (1514), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (954), (1363), (1515),
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1516) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_56_4 = e3 & op(e3, e1) = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1517) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) op(e3, e1) = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (952), (1518), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_56_9 = e3 & op(e3, e0) = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1519) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_56_9 = e3
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1426), (1520) are inconsistent by sub-proof
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1229.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_56_10 = e2 & op(e2, e0) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1521) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) op(e2, e0) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1416), (1522), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1523) gives:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_56_11 = e2 & op(e1, e0) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1524) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) op(e1, e0) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (1420), (1525), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1222.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_56_15 = e2 & op(e0, e0) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1526) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) op(e0, e0) = e2
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (207),
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (912), (1405), (1527), (function-axioms)
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #792.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_56_15 = e1 & op(e0, e0) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1528) implies:
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) op(e0, e0) = e1
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1363), (1529), (function-axioms) are
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 160.60/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_56_15 = e2 & op(e0, e0) = e2
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) op(e0, e0) = e2
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1363), (1531), (function-axioms) are
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (960), (1372), (1532),
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | #764.
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_54_14 = e3 | all_54_14 = e0
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (954), (1362), (1533) are inconsistent by
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | (1534) ~ (all_54_6 = e1)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | (1535) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (261), (1534) imply:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | (1536) ~ (all_52_9 = e1)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1535) gives:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_54_6 = e2
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1537) imply:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_52_9 = e2
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1538) implies:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_52_9 = e2
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1539) imply:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1540) ~ (all_52_1 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1539) imply:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1541) ~ (all_52_13 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1541) implies:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1542) ~ (all_52_13 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (953), (1539) imply:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | (1543) ~ (e3 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | (1544) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1544) gives:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1545) gives:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1546) implies:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) op(e2, e3) = e2
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1540), (1547), (function-axioms) are
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (911), (920), (1548),
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | #775.
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (169), (952), (960), (1349), (1549),
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | #761.
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (1550) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1550) gives:
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.60/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (261), (268), (270), (271), (272), (291), (314),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (347), (349), (350), (352), (356), (358),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (367), (368), (369), (370), (372), (373), (375),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (920), (922), (949), (950), (951), (952), (954),
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (955), (1542), (1551), (function-axioms) are
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #760.
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.60/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1552) gives:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) op(e2, e2) = e2
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1349), (1554), (function-axioms) are
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (159), (164), (920), (1345), (1349),
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361), (1367), (1542), (1555), (function-axioms)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #769.
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_54_6 = e3 | all_54_6 = e0
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (953), (1346), (1556) are inconsistent by
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1159.
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | (1557) all_56_5 = e0 & op(e2, e1) = e0
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1346), (1557), (function-axioms) are
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | (1558) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1558) gives:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.99/23.45 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | (1559) all_56_8 = e0 & op(e1, e1) = e0
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1559) implies:
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | (1560) op(e1, e1) = e0
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (960), (1560), (function-axioms) are
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | (1561) all_56_14 = e0 & op(e0, e1) = e0
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1561) implies:
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | (1562) op(e0, e1) = e0
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1362), (1562), (function-axioms) are
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.46 | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | End of split
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | (1563) all_32_2 = e2
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (1563) imply:
% 160.99/23.46 | | | | | | | | | | | | | | | | | (1564) all_6_2 = e2
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | SIMP: (1564) implies:
% 160.99/23.46 | | | | | | | | | | | | | | | | | (1565) all_6_2 = e2
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | REDUCE: (369), (1565) imply:
% 160.99/23.46 | | | | | | | | | | | | | | | | | (1566) ~ (all_52_13 = e2)
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | REDUCE: (372), (1565) imply:
% 160.99/23.46 | | | | | | | | | | | | | | | | | (1567) ~ (e3 = e2)
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | REDUCE: (39), (1565) imply:
% 160.99/23.46 | | | | | | | | | | | | | | | | | (1568) op(e0, e0) = e2
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.99/23.46 | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | Case 1:
% 160.99/23.46 | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | (1569) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | BETA: splitting (1569) gives:
% 160.99/23.46 | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | Case 1:
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (1570) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (163), (911), (920), (1349), (1570),
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | #774.
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (1571) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (169), (952), (960), (1349), (1571),
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.99/23.46 | | | | | | | | | | | | | | | | | | | #761.
% 160.99/23.46 | | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | | End of split
% 160.99/23.46 | | | | | | | | | | | | | | | | | |
% 160.99/23.46 | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.46 | | | | | | | | | | | | | | | | | |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (1572) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 160.99/23.47 | | | | | | | | | | | | | | | | | |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | BETA: splitting (1572) gives:
% 160.99/23.47 | | | | | | | | | | | | | | | | | |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | Case 1:
% 160.99/23.47 | | | | | | | | | | | | | | | | | | |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (1573) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 160.99/23.47 | | | | | | | | | | | | | | | | | | |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (226), (227),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (261), (268), (270), (271), (272), (291), (314),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (329), (347), (349), (350), (352), (356), (358),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (367), (368), (369), (370), (372), (373), (375),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (920), (922), (949), (950), (951), (952), (954),
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | (955), (1566), (1573), (function-axioms) are
% 160.99/23.47 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #760.
% 160.99/23.47 | | | | | | | | | | | | | | | | | | |
% 160.99/23.47 | | | | | | | | | | | | | | | | | | Case 2:
% 160.99/23.47 | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (1574) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | BETA: splitting (1574) gives:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (1575) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ALPHA: (1575) implies:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (1576) op(e2, e2) = e2
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1349), (1576), (function-axioms) are
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (1577) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (1578) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (1579) op(e1, e1) = e1
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (960), (1579), (function-axioms) are
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (1580) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1580) implies:
% 161.40/23.48 | | | | | | | | | | | | | | | | | | | | | (1581) op(e0, e0) = all_57_15
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (1582) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1582) gives:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (1583) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1583) gives:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (1584) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1584) implies:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (1585) (all_57_1 = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (911), (960), (1585), (function-axioms) are
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1170.
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (1586) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1586) implies:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (1587) op(e0, e2) = e0
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1345), (1587), (function-axioms) are
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (1588) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (1349), (1566), (1568), (1581),
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | (1588), (function-axioms) are inconsistent by
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | | sub-proof #759.
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | (1589) all_56_11 = e3 & op(e1, e0) = e3
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | REF_CLOSE: (160), (955), (1589), (function-axioms) are
% 161.40/23.49 | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | End of split
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | (1590) all_24_2 = e2
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | COMBINE_EQS: (322), (1590) imply:
% 161.40/23.49 | | | | | | | | | | | | (1591) all_14_2 = e2
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | REDUCE: (348), (1591) imply:
% 161.40/23.49 | | | | | | | | | | | | (1592) ~ (all_52_2 = e2)
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | REDUCE: (361), (1591) imply:
% 161.40/23.49 | | | | | | | | | | | | (1593) ~ (all_52_8 = e2)
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | REDUCE: (362), (1591) imply:
% 161.40/23.49 | | | | | | | | | | | | (1594) ~ (all_52_9 = e2)
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | REDUCE: (364), (1591) imply:
% 161.40/23.49 | | | | | | | | | | | | (1595) ~ (all_52_11 = e2)
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | REDUCE: (51), (1591) imply:
% 161.40/23.49 | | | | | | | | | | | | (1596) op(e1, e1) = e2
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | BETA: splitting (215) gives:
% 161.40/23.49 | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | (1597) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 161.40/23.49 | | | | | | | | | | | | | & op(e1, e2) = e2)
% 161.40/23.49 | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | BETA: splitting (1597) gives:
% 161.40/23.49 | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | (1598) all_56_6 = e2 & op(e1, e3) = e2
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | REF_CLOSE: (163), (1592), (1598), (function-axioms) are
% 161.40/23.49 | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | (1599) all_56_7 = e2 & op(e1, e2) = e2
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | ALPHA: (1599) implies:
% 161.40/23.49 | | | | | | | | | | | | | | (1600) all_56_7 = e2
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 161.40/23.49 | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | (1601) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 161.40/23.49 | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (1593), (1594), (1601),
% 161.40/23.49 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.40/23.49 | | | | | | | | | | | | | | | #1083.
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | (1602) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 161.40/23.49 | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | BETA: splitting (1602) gives:
% 161.40/23.49 | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | (1603) all_56_8 = e2 & op(e1, e1) = e2
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 161.40/23.49 | | | | | | | | | | | | | | | | (1604) all_56_8 = e2
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 161.40/23.49 | | | | | | | | | | | | | | | | (216), (911), (1596), (1600), (1604),
% 161.40/23.49 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.40/23.49 | | | | | | | | | | | | | | | | #753.
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | Case 2:
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | (1605) all_56_14 = e2 & op(e0, e1) = e2
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | ALPHA: (1605) implies:
% 161.40/23.49 | | | | | | | | | | | | | | | | (1606) all_56_14 = e2
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.40/23.49 | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.49 | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | (1607) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.40/23.49 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.40/23.49 | | | | | | | | | | | | | | | | |
% 161.40/23.49 | | | | | | | | | | | | | | | | | BETA: splitting (1607) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | (1608) all_56_12 = e1 & op(e0, e3) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (912), (1608), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | (1609) all_56_13 = e1 & op(e0, e2) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | (1610) all_56_13 = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | (1611) op(e0, e2) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | (1612) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (165), (169), (217),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | (220), (914), (1596), (1606), (1612),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | #750.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | (1613) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | (1614) all_56_8 = e1 & op(e1, e1) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | (1615) op(e1, e1) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | (1616) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1616) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | (1617) all_56_12 = e3 & op(e0, e3) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1617) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | (1618) all_56_12 = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | (1619) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1619) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_56_0 = e2 & op(e3, e3) = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1620) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1621) op(e3, e3) = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (920), (1621), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_56_2 = e2 & op(e2, e3) = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1622) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_56_2 = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1624) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_56_0 = e0 & op(e3, e3) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1625) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) op(e3, e3) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (920), (1626), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_56_2 = e0 & op(e2, e3) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1627) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_56_2 = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1623), (1628) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1629) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_56_6 = e0 & op(e1, e3) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1630) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_56_6 = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_56_15 = e0 & op(e0, e0) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1632) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) op(e0, e0) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1634) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_56_6 = e3 & op(e1, e3) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1635) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_56_6 = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1631), (1636) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #758.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_56_7 = e3 & op(e1, e2) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1600), (1637) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #756.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1638) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_56_8 = e3 & op(e1, e1) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1639) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) op(e1, e1) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1615), (1640), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_56_11 = e3 & op(e1, e0) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1641) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_56_11 = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (45), (73), (76),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (85), (110), (112), (113), (117), (121),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (141), (144), (145), (149), (157),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (189), (199), (206),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (212), (213), (214),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (223), (224),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (229), (230), (231), (232),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (246),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (314), (329), (330), (347), (349), (350),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352), (356), (358), (368), (369), (370), (372),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375), (909), (911), (914), (915), (919), (920),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610), (1611), (1615), (1643), (function-axioms)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #839.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1644) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_56_11 = e1 & op(e1, e0) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1645) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_56_11 = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1642), (1646) imply:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) e3 = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1618), (1647) imply:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_56_12 = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (209), (1606), (1610), (1633),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648), (function-axioms) are inconsistent by
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1063.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_56_15 = e1 & op(e0, e0) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1649) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) op(e0, e0) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1633), (1650), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (1606), (1611), (1618), (1651),
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | #749.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_56_12 = e0 & op(e0, e3) = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1652) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_56_12 = e0
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1618), (1653) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | (1654) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1654) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_56_6 = e2 & op(e1, e3) = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1592), (1655), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_56_12 = e2 & op(e0, e3) = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_56_12 = e2
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1618), (1657) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | (1658) all_56_13 = e3 & op(e0, e2) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1610), (1658) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | #1066.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | (1659) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | (1660) all_56_14 = e3 & op(e0, e1) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1606), (1660) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | #852.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | (1661) all_56_15 = e3 & op(e0, e0) = e3
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (1661), (function-axioms) are
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | (1662) all_56_14 = e1 & op(e0, e1) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1606), (1662) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | | #1243.
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | End of split
% 161.40/23.50 | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | (1663) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.40/23.50 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.40/23.50 | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | BETA: splitting (1663) gives:
% 161.40/23.50 | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | (1664) all_56_14 = e1 & op(e0, e1) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1606), (1664) are inconsistent by sub-proof
% 161.40/23.50 | | | | | | | | | | | | | | | | | | #1243.
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.50 | | | | | | | | | | | | | | | | | | (1665) all_56_15 = e1 & op(e0, e0) = e1
% 161.40/23.50 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (922), (1665), (function-axioms) are
% 161.40/23.51 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | End of split
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | End of split
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | End of split
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | End of split
% 161.40/23.51 | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | End of split
% 161.40/23.51 | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | (1666) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 161.40/23.51 | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 161.40/23.51 | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 161.40/23.51 | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | (1667) all_56_8 = e2 & op(e1, e1) = e2
% 161.40/23.51 | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | ALPHA: (1667) implies:
% 161.40/23.51 | | | | | | | | | | | | | | (1668) all_56_8 = e2
% 161.40/23.51 | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | BETA: splitting (906) gives:
% 161.40/23.51 | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | (1669) ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 161.40/23.51 | | | | | | | | | | | | | | | $i(all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | ALPHA: (1669) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | (1670) ~ (all_20_0 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | (1671) op(e3, e1) = all_20_0
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 161.40/23.51 | | | | | | | | | | | | | | | all_20_0, e1, e3, simplifying with (169), (1671)
% 161.40/23.51 | | | | | | | | | | | | | | | gives:
% 161.40/23.51 | | | | | | | | | | | | | | | (1672) all_52_8 = all_20_0
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1673) all_54_2 = all_20_0
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | REDUCE: (134), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1674) ~ (all_52_4 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | REDUCE: (123), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1675) ~ (all_52_9 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | SIMP: (1675) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | (1676) ~ (all_52_9 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | REDUCE: (121), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1677) ~ (all_52_11 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | SIMP: (1677) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | (1678) ~ (all_52_11 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | REDUCE: (120), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1679) ~ (all_52_12 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | SIMP: (1679) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | (1680) ~ (all_52_12 = all_20_0)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | REDUCE: (1593), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1681) ~ (all_20_0 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | REDUCE: (914), (1672) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | (1682) ~ (all_20_0 = e1)
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 161.40/23.51 | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | (1683) all_54_2 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (1673), (1683) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | (1684) all_20_0 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | REDUCE: (1682), (1684) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | (1685) $false
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | CLOSE: (1685) is inconsistent.
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | (1686) ~ (all_54_2 = e1)
% 161.40/23.51 | | | | | | | | | | | | | | | | (1687) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | BETA: splitting (1687) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | (1688) all_54_2 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1673), (1688) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | (1689) all_20_0 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | REDUCE: (1681), (1689) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | (1690) $false
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | CLOSE: (1690) is inconsistent.
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | (1691) all_54_2 = e3 | all_54_2 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | BETA: splitting (1691) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1692) all_54_2 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1673), (1692) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1693) all_20_0 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | REDUCE: (1674), (1693) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1694) ~ (all_52_4 = e3)
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | REDUCE: (1676), (1693) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1695) ~ (all_52_9 = e3)
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | REDUCE: (1678), (1693) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1696) ~ (all_52_11 = e3)
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | REDUCE: (1680), (1693) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1697) ~ (all_52_12 = e3)
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | REDUCE: (1671), (1693) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | (1698) op(e3, e1) = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | (1699) ~ (all_28_2 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | REDUCE: (314), (1699) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | (1700) ~ (all_10_2 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | (1701) all_54_5 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (1701) are inconsistent by sub-proof
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | #1418.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | (1702) ~ (all_54_5 = e1)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | (1703) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1703) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1704) all_54_5 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1704) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1705) all_10_2 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (1705) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1706) all_10_2 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (1706) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1707) ~ (all_52_1 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1706) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1708) ~ (all_52_4 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (1706) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1709) ~ (all_52_6 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (1706) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1710) ~ (all_52_7 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1706) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1711) ~ (e3 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1706) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | (1712) op(e2, e2) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | (1713) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1713) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1714) all_56_0 = e2 & op(e3, e3) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1714) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1715) op(e3, e3) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (920), (1715), (function-axioms) are
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1716) all_56_2 = e2 & op(e2, e3) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1716) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1717) op(e2, e3) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1707), (1717), (function-axioms) are
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | (1718) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1719) all_56_6 = e2 & op(e1, e3) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1592), (1719), (function-axioms) are
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1720) all_56_12 = e2 & op(e0, e3) = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1720) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | (1721) all_56_12 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_54_1 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1722) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_52_4 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1723) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (1724) $false
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1724) is inconsistent.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1726) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1726) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_56_12 = e3 & op(e0, e3) = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1727) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_56_12 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1721), (1728) are inconsistent by sub-proof
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_56_13 = e3 & op(e0, e2) = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1729) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_56_13 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (912), (1730), (1731),
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #748.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_56_14 = e1 & op(e0, e1) = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1733) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) op(e0, e1) = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1725) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_54_1 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1708), (1735) are inconsistent by
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #821.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_54_1 = e3 | all_54_1 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1736) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_54_1 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1694), (1737) are inconsistent by
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #820.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_54_1 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1738) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_52_4 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1739) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_52_4 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1740) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) ~ (all_52_6 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1741) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) ~ (all_52_6 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1740) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) ~ (all_52_12 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1743) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) ~ (all_52_12 = e0)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_54_3 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (915), (1745) are inconsistent by sub-proof
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1746) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_54_3 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1747) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_52_12 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1748) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_52_12 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1749) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) ~ (all_52_13 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1750) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) ~ (all_52_13 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1749) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_52_14 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1752) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) ~ (all_52_14 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (1749) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) ~ (all_6_2 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1754) implies:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_6_2 = e2)
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_54_15 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1756) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_6_2 = e1
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (922), (1757) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) $false
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1758) is inconsistent.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1759) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_54_15 = e2
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1755), (1760) are inconsistent by
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_54_15 = e3 | all_54_15 = e0
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1761) gives:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_54_15 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1762) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_6_2 = e3
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (1763) imply:
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) $false
% 161.40/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1764) is inconsistent.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_54_15 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1765) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_6_2 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (1766) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) ~ (all_52_3 = e0)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (1766) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) ~ (all_52_7 = e0)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1766) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) ~ (all_52_14 = e0)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1766) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) op(e0, e0) = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_54_14 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1771) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_52_11 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1772) implies:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_52_11 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1773) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) ~ (all_52_7 = e1)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_54_13 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1774), (1775) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1011.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1776) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_54_13 = e2
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1710), (1777) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1006.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_54_13 = e3 | all_54_13 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_54_13 = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1779) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_52_7 = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1780) implies:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_52_7 = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1781) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_52_6 = e3)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_54_9 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1783) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_52_6 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1784) implies:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_52_6 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1785) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) ~ (all_52_14 = e1)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1786) implies:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_52_14 = e1)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_54_11 = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1787), (1788) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1789) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_54_11 = e2
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1753), (1790) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_54_11 = e3 | all_54_11 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_54_11 = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1792) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_52_14 = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1793) implies:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_52_14 = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1794) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_52_2 = e3)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (160), (163), (164), (165), (167),
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (239), (914), (1594), (1707), (1712),
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751), (1767), (1768), (1769), (1770), (1795),
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #836.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_54_11 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1769), (1796) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1709), (1742), (1782), (1797) are
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1139.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_54_13 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1768), (1798) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1005.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) ~ (all_54_14 = e1)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (247), (1799) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) ~ (all_52_11 = e1)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1734), (1800), (function-axioms) are
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_54_3 = e3 | all_54_3 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1697), (1744), (1801) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1120.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_56_15 = e1 & op(e0, e0) = e1
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (922), (1802), (function-axioms) are
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1803) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1803) gives:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_56_14 = e3 & op(e0, e1) = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1696), (1804), (function-axioms) are
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_56_15 = e3 & op(e0, e0) = e3
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (1805), (function-axioms) are
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | (1806) all_54_5 = e3 | all_54_5 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (1700), (1806) are inconsistent by
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | End of split
% 161.40/23.52 | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | Case 2:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | (1807) all_28_2 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (1807) imply:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | (1808) all_10_2 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | SIMP: (1808) implies:
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | (1809) all_10_2 = e0
% 161.40/23.52 | | | | | | | | | | | | | | | | | | |
% 161.40/23.52 | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1809) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | (1810) ~ (all_52_4 = e0)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | REDUCE: (352), (1809) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | (1811) ~ (all_52_6 = e0)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | REDUCE: (356), (1809) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | (1812) ~ (all_52_9 = e0)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1809) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | (1813) ~ (e3 = e0)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1809) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | (1814) op(e2, e2) = e0
% 161.59/23.52 | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | (1815) all_54_6 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1815) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | (1816) all_52_9 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1816) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | (1817) ~ (all_52_11 = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | SIMP: (1817) implies:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_52_11 = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (1695), (1816) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | (1819) ~ (e3 = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | (1820) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1820) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | (1821) all_56_4 = e1 & op(e3, e1) = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | (1822) op(e3, e1) = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (914), (1822), (function-axioms) are
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | (1823) all_56_5 = e1 & op(e2, e1) = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1823) implies:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | (1824) all_56_5 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | (1825) op(e2, e1) = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | (1826) all_54_14 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1826) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | (1827) all_52_11 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1818), (1827) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | (1828) $false
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1828) is inconsistent.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | (1829) ~ (all_54_14 = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | (1830) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_54_1 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1831) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_52_4 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1832) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | (1833) $false
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1833) is inconsistent.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_54_1 = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1835) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_54_1 = e2
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (1836) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_52_4 = e2
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1837) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1838) ~ (all_52_12 = e2)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1838) implies:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1839) ~ (all_52_12 = e2)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1694), (1837) imply:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1840) ~ (e3 = e2)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1830) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_54_14 = e2
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1595), (1841) are inconsistent by
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ~ (all_54_14 = e2)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_54_14 = e3 | all_54_14 = e0
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_54_3 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (915), (1844) are inconsistent by sub-proof
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) ~ (all_54_3 = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_54_3 = e2
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1839), (1847) are inconsistent by
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1193.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_54_3 = e2)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_54_3 = e3 | all_54_3 = e0
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1850) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_56_12 = e1 & op(e0, e3) = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (912), (1851), (function-axioms) are
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_56_13 = e1 & op(e0, e2) = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1852) implies:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_56_13 = e1
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (168),
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (375), (915), (1824), (1825),
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854), (function-axioms) are inconsistent by
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1855) gives:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_56_11 = e1 & op(e1, e0) = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1856) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_56_11 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (920), (1810), (1858),
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_56_4 = e0 & op(e3, e1) = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1860) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) op(e3, e1) = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1698), (1861), (function-axioms) are
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_56_9 = e0 & op(e3, e0) = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_56_9 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_54_3 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1864) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_52_12 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1697), (1865) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) $false
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1866) is inconsistent.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_54_3 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1867) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_52_12 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1868) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) ~ (all_52_14 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1869) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_52_14 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (1868) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) ~ (all_6_2 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1871) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) ~ (all_6_2 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1839), (1868) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) ~ (e2 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (1868) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) ~ (e1 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (1868) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) op(e3, e0) = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_54_15 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (922), (1876) are inconsistent by sub-proof
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1878) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_56_1 = e3 & op(e3, e2) = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1879) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_56_1 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (919), (1698), (1863),
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880), (function-axioms) are inconsistent by
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #857.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_56_3 = e3 & op(e2, e2) = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) op(e2, e2) = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1814), (1882), (function-axioms) are
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_56_7 = e3 & op(e1, e2) = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1884) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_56_7 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_56_12 = e3 & op(e0, e3) = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_56_12 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1843) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_54_14 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1696), (1889) are inconsistent by
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1188.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_54_14 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1890) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_52_11 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1891) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_52_11 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1892) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) ~ (all_52_3 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1892) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_52_7 = e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1895) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_56_0 = e2 & op(e3, e3) = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1896) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) op(e3, e3) = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (920), (1897), (function-axioms) are
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_56_2 = e2 & op(e2, e3) = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1898) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) op(e2, e3) = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1877) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_54_15 = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1900) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_6_2 = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1901) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_6_2 = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (1902) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) ~ (all_52_3 = e2)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (1902) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) ~ (all_52_7 = e2)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_54_12 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (912), (1905) are inconsistent by sub-proof
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_54_12 = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (1903), (1907) are inconsistent by
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #807.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_54_12 = e3 | all_54_12 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_54_12 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1909) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_52_3 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1910) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_52_3 = e3
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1911) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_52_2 = e3)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1911) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) ~ (all_52_7 = e3)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1913) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) ~ (all_52_7 = e3)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_54_8 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (911), (1915) are inconsistent by sub-proof
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #746.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_54_8 = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1592), (1917) are inconsistent by
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #745.
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_54_8 = e3 | all_54_8 = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_54_13 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1919) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_52_7 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1920) implies:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_52_7 = e1
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1921) imply:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) ~ (all_52_6 = e1)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (920), (1694), (1698), (1912),
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924), (function-axioms) are inconsistent by
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #743.
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (169), (914), (1875), (1893), (1925),
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1927) gives:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e2, e1) = e2
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1594), (1929), (function-axioms) are
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.59/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1931) implies:
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) op(e1, e2) = e1
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1922), (1932), (function-axioms) are
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 161.59/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1933) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) op(e2, e0) = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (1899), (1934),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1935) gives:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1936) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) op(e0, e2) = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1894), (1937), (function-axioms) are
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (157), (160), (259), (1818), (1912),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918), (1938), (function-axioms) are inconsistent
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #742.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1894), (1904), (1914), (1939) are
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_54_12 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (1893), (1940) are inconsistent by
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_54_15 = e3 | all_54_15 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (1872), (1941) are inconsistent by
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1942) gives:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_56_6 = e2 & op(e1, e3) = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1943) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_56_6 = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (162), (213), (1596), (1811), (1870),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944), (function-axioms) are inconsistent by
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #986.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_56_12 = e2 & op(e0, e3) = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1945) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_56_12 = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1888), (1946) imply:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) e3 = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1947) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) e3 = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1885), (1948) imply:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_56_7 = e2
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596), (1668), (1857), (1949), (function-axioms)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #754.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_56_13 = e3 & op(e0, e2) = e3
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1950) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_56_13 = e3
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) op(e0, e2) = e3
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885), (1951), (1952), (function-axioms) are
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1086.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (246), (372), (1696), (1872), (1877),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953), (function-axioms) are inconsistent by
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_56_13 = e3 & op(e0, e2) = e3
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1853), (1954) are inconsistent by sub-proof
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_56_15 = e1 & op(e0, e0) = e1
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (922), (1955), (function-axioms) are
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (922), (1818), (1956),
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #740.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_54_1 = e3 | all_54_1 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1694), (1810), (1957) are inconsistent by
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | (1958) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1958) gives:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | (1959) all_56_8 = e1 & op(e1, e1) = e1
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1668), (1959) are inconsistent by sub-proof
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | #1081.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | (1960) all_56_14 = e1 & op(e0, e1) = e1
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | (1961) op(e0, e1) = e1
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1818), (1961), (function-axioms) are
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | (1962) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1594), (1695), (1812), (1962) are
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | (1963) all_54_2 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1673), (1963) imply:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | (1964) all_20_0 = e0
% 161.69/23.55 | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | REDUCE: (1670), (1964) imply:
% 161.69/23.55 | | | | | | | | | | | | | | | | | | (1965) $false
% 161.69/23.55 | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | | CLOSE: (1965) is inconsistent.
% 161.69/23.55 | | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | (1966) ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 161.69/23.55 | | | | | | | | | | | | | | | $i(all_20_1)
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | ALPHA: (1966) implies:
% 161.69/23.55 | | | | | | | | | | | | | | | (1967) ~ (all_20_1 = e2)
% 161.69/23.55 | | | | | | | | | | | | | | | (1968) op(e1, e1) = all_20_1
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_20_1,
% 161.69/23.55 | | | | | | | | | | | | | | | e1, e1, simplifying with (1596), (1968) gives:
% 161.69/23.55 | | | | | | | | | | | | | | | (1969) all_20_1 = e2
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | REDUCE: (1967), (1969) imply:
% 161.69/23.55 | | | | | | | | | | | | | | | (1970) $false
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | | CLOSE: (1970) is inconsistent.
% 161.69/23.55 | | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | End of split
% 161.69/23.55 | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | Case 2:
% 161.69/23.55 | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | (1971) all_56_11 = e2 & op(e1, e0) = e2
% 161.69/23.55 | | | | | | | | | | | | | |
% 161.69/23.55 | | | | | | | | | | | | | | ALPHA: (1971) implies:
% 161.69/23.55 | | | | | | | | | | | | | | (1972) all_56_11 = e2
% 161.69/23.56 | | | | | | | | | | | | | | (1973) op(e1, e0) = e2
% 161.69/23.56 | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 161.69/23.56 | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | (1974) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 161.69/23.56 | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 161.69/23.56 | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (1593), (1594), (1974),
% 161.69/23.56 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | #1083.
% 161.69/23.56 | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | (1975) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 161.69/23.56 | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 161.69/23.56 | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | BETA: splitting (1975) gives:
% 161.69/23.56 | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | (1976) all_56_8 = e2 & op(e1, e1) = e2
% 161.69/23.56 | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | ALPHA: (1976) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | (1977) all_56_8 = e2
% 161.69/23.56 | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | (1978) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.69/23.56 | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | (1979) all_56_9 = e1 & op(e3, e0) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (915), (1979), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | (1980) all_56_10 = e1 & op(e2, e0) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | ALPHA: (1980) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | (1981) all_56_10 = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | (1982) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (1982) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | (1983) all_56_9 = e3 & op(e3, e0) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | (1984) all_56_9 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | (1985) op(e3, e0) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | (1986) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1986) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | (1987) all_56_0 = e2 & op(e3, e3) = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1987) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | (1988) op(e3, e3) = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (920), (1988), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | (1989) all_56_1 = e2 & op(e3, e2) = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1989) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | (1990) all_56_1 = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | (1991) all_56_15 = e0 & op(e0, e0) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1991) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | (1992) op(e0, e0) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | (1993) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (920), (1990), (1993), (function-axioms)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #739.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | (1994) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1994) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_56_4 = e0 & op(e3, e1) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1995) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_56_4 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1997) op(e3, e1) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_56_6 = e1 & op(e1, e3) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1999) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) op(e1, e3) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (911), (2000), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_56_7 = e1 & op(e1, e2) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2001) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_56_7 = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_56_6 = e3 & op(e1, e3) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_56_6 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2006) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_56_1 = e3 & op(e3, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2007) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_56_1 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1990), (2008) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #858.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_56_3 = e3 & op(e2, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2009) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) op(e2, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (375), (2010), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1281.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2011) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_56_7 = e3 & op(e1, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2002), (2012) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_56_13 = e3 & op(e0, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2013) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_56_13 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) op(e0, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (912), (2014), (2016),
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #748.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_56_14 = e1 & op(e0, e1) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2018) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_56_14 = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2020) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_56_4 = e3 & op(e3, e1) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2021) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) op(e3, e1) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1997), (2022), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_56_5 = e3 & op(e2, e1) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2023) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_56_5 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2025) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_56_6 = e0 & op(e1, e3) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2026) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_56_6 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2005), (2027) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #758.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_56_7 = e0 & op(e1, e2) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2028) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_56_7 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2002), (2029) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #834.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2030) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_56_8 = e0 & op(e1, e1) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2031) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) op(e1, e1) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1996), (2024), (2033) are inconsistent
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #738.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1975) gives:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1596), (2032), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_56_14 = e2 & op(e0, e1) = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2034) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_56_14 = e2
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2019), (2035) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #793.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_56_11 = e0 & op(e1, e0) = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2036) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_56_11 = e0
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1972), (2037) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1102.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596), (2014), (2015), (2038), (function-axioms)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1022.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_56_15 = e1 & op(e0, e0) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2039) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) op(e0, e0) = e1
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1992), (2040), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_56_7 = e3 & op(e1, e2) = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_56_7 = e3
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2002), (2042) are inconsistent by sub-proof
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1596), (1972), (2043), (function-axioms) are
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (1973), (1977), (2044),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | #736.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_56_9 = e0 & op(e3, e0) = e0
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2045) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | (2046) op(e3, e0) = e0
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1985), (2046), (function-axioms) are
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | (2047) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2047) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (1972), (1981), (1985), (2048),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | | #734.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (2049) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2049) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | (2050) all_56_4 = e2 & op(e3, e1) = e2
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1593), (2050), (function-axioms) are
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | (2051) all_56_9 = e2 & op(e3, e0) = e2
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1984), (2051) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | | #1300.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | (2052) all_56_10 = e3 & op(e2, e0) = e3
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | ALPHA: (2052) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | (2053) all_56_10 = e3
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1981), (2053) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | #1239.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | (2054) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (372), (1972), (2054),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | #1071.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2055) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (160), (922), (1973), (2055),
% 161.69/23.57 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | #733.
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | (2056) all_56_14 = e2 & op(e0, e1) = e2
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | ALPHA: (2056) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | (2057) all_56_14 = e2
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2058) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | BETA: splitting (2058) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | (2059) all_56_12 = e1 & op(e0, e3) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (912), (2059), (function-axioms) are
% 161.69/23.57 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | (2060) all_56_13 = e1 & op(e0, e2) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | ALPHA: (2060) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | (2061) all_56_13 = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | | (2062) op(e0, e2) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | (2063) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (165), (169), (217),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | (220), (914), (1596), (2057), (2063),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | #750.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | (2064) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (2064) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | (2065) all_56_8 = e1 & op(e1, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | ALPHA: (2065) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | (2066) op(e1, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (2067) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (45), (73), (76),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (79), (85), (110), (112), (113), (117), (121),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (125), (128), (141), (144), (145), (149), (157),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (189), (199), (206),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (212), (213), (214),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (221), (223), (224),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (229), (230), (231), (232),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (238), (239), (246),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (268), (314), (329), (330), (347), (349), (350),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (352), (356), (358), (368), (369), (370), (372),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (375), (909), (911), (914), (915), (919), (920),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (2061), (2062), (2066), (2067), (function-axioms)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #839.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (2068) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (160), (922), (1973), (2068),
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | | #733.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | (2069) all_56_14 = e1 & op(e0, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2057), (2069) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | | #1243.
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2070) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.69/23.57 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | BETA: splitting (2070) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | (2071) all_56_14 = e1 & op(e0, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2057), (2071) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | | | | | #1243.
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | (2072) all_56_15 = e1 & op(e0, e0) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (922), (2072), (function-axioms) are
% 161.69/23.57 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 161.69/23.57 | | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | (2073) all_22_2 = e1
% 161.69/23.57 | | | | | | | | | | | (2074) ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 161.69/23.57 | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1)
% 161.69/23.57 | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | COMBINE_EQS: (310), (2073) imply:
% 161.69/23.57 | | | | | | | | | | | (2075) all_6_2 = e1
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | SIMP: (2075) implies:
% 161.69/23.57 | | | | | | | | | | | (2076) all_6_2 = e1
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | COMBINE_EQS: (296), (2076) imply:
% 161.69/23.57 | | | | | | | | | | | (2077) all_38_2 = e1
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | REDUCE: (360), (2076) imply:
% 161.69/23.57 | | | | | | | | | | | (2078) ~ (all_52_7 = e1)
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | REDUCE: (369), (2076) imply:
% 161.69/23.57 | | | | | | | | | | | (2079) ~ (all_52_13 = e1)
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | REDUCE: (372), (2076) imply:
% 161.69/23.57 | | | | | | | | | | | (2080) ~ (e3 = e1)
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | REDUCE: (39), (2076) imply:
% 161.69/23.57 | | | | | | | | | | | (2081) op(e0, e0) = e1
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | BETA: splitting (222) gives:
% 161.69/23.57 | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | (2082) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 161.69/23.57 | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | REF_CLOSE: (45), (167), (373), (910), (2082),
% 161.69/23.57 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | #731.
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | (2083) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 161.69/23.57 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | BETA: splitting (2083) gives:
% 161.69/23.57 | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | (2084) all_56_5 = e1 & op(e2, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | ALPHA: (2084) implies:
% 161.69/23.57 | | | | | | | | | | | | | (2085) all_56_5 = e1
% 161.69/23.57 | | | | | | | | | | | | | (2086) op(e2, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | BETA: splitting (226) gives:
% 161.69/23.57 | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | (2087) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 161.69/23.57 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (373), (913), (2087),
% 161.69/23.57 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.57 | | | | | | | | | | | | | | #729.
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | (2088) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 161.69/23.57 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | BETA: splitting (2088) gives:
% 161.69/23.57 | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | (2089) all_56_7 = e1 & op(e1, e2) = e1
% 161.69/23.57 | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | ALPHA: (2089) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | (2090) all_56_7 = e1
% 161.69/23.57 | | | | | | | | | | | | | | | (2091) op(e1, e2) = e1
% 161.69/23.57 | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.69/23.57 | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | (2092) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.69/23.57 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | BETA: splitting (2092) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2093) all_56_12 = e1 & op(e0, e3) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (912), (2093), (function-axioms) are
% 161.69/23.57 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2094) all_56_13 = e1 & op(e0, e2) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2078), (2094), (function-axioms) are
% 161.69/23.57 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | End of split
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | (2095) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.69/23.57 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2096) all_56_14 = e1 & op(e0, e1) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | ALPHA: (2096) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2097) all_56_14 = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2081), (2097), (function-axioms) are inconsistent
% 161.69/23.57 | | | | | | | | | | | | | | | | | by sub-proof #964.
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2098) all_56_15 = e1 & op(e0, e0) = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | ALPHA: (2098) implies:
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2099) all_56_15 = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 161.69/23.57 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (2091) gives:
% 161.69/23.57 | | | | | | | | | | | | | | | | | (2100) all_52_6 = e1
% 161.69/23.57 | | | | | | | | | | | | | | | | |
% 161.69/23.57 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 161.69/23.57 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2086) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2101) all_52_9 = e1
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | REDUCE: (128), (2100) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2102) ~ (all_52_7 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | REDUCE: (126), (2100) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2103) ~ (all_52_14 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | SIMP: (2103) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2104) ~ (all_52_14 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | REDUCE: (118), (2101) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2105) ~ (all_52_11 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | SIMP: (2105) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2106) ~ (all_52_11 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | REDUCE: (117), (2101) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2107) ~ (all_52_13 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | REDUCE: (362), (2101) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2108) ~ (all_14_2 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | SIMP: (2108) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2109) ~ (all_14_2 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | REDUCE: (356), (2101) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | (2110) ~ (all_10_2 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | (2111) ~ (all_24_2 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | REDUCE: (322), (2111) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | (2112) ~ (all_14_2 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | (2113) all_54_10 = e1
% 161.69/23.58 | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (2109), (2113) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | (2114) ~ (all_54_10 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | (2115) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (2115) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | (2116) all_54_10 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (2112), (2116) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | sub-proof #1308.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | (2117) ~ (all_54_10 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | (2118) all_54_10 = e3 | all_54_10 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2119) all_54_10 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (2119) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2120) all_14_2 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | SIMP: (2120) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2121) all_14_2 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (2121) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2122) all_42_2 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (2121) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2123) ~ (all_52_2 = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (2121) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2124) ~ (all_52_8 = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (2121) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2125) ~ (all_52_11 = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2121) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_52_14 = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2121) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | (2127) op(e1, e1) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2074) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | (2128) ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2128) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | (2129) ~ (all_22_0 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | (2130) op(e0, e1) = all_22_0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | (2131) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (2090), (2123), (2131),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | #726.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | (2132) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_56_8 = e3 & op(e1, e1) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2133) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_56_8 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e1, e0, simplifying with (157), (2130)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_52_11 = all_22_0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (2135) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_54_14 = all_22_0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2135) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2137) ~ (all_52_3 = all_22_0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2135) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2138) ~ (all_52_7 = all_22_0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2135) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2139) ~ (all_52_8 = all_22_0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2125), (2135) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2140) ~ (all_22_0 = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2106), (2135) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (2141) ~ (all_22_0 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_54_14 = e1
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2136), (2141), (2142) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #955.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (2143) ~ (all_54_14 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_56_4 = e2 & op(e3, e1) = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2146) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_56_4 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) op(e3, e1) = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2149) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_56_4 = e0 & op(e3, e1) = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2147), (2150) are inconsistent by sub-proof
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_56_5 = e0 & op(e2, e1) = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2085), (2151) are inconsistent by sub-proof
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1269.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2152) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_56_8 = e0 & op(e1, e1) = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2153) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) op(e1, e1) = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2127), (2154), (function-axioms) are
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_56_14 = e0 & op(e0, e1) = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2155) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_56_14 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2144) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_54_14 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2129), (2136), (2157) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #954.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) ~ (all_54_14 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_54_14 = e3 | all_54_14 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_54_14 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2136), (2140), (2160) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #953.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_54_14 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2136), (2161) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_22_0 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2162) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_22_0 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2137), (2163) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) ~ (all_52_3 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2138), (2163) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) ~ (all_52_7 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2139), (2163) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) ~ (all_52_8 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2140), (2163) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) ~ (e3 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2141), (2163) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) ~ (e1 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) ~ (all_28_2 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (2169) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_10_2 = e0)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_54_5 = e1
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (2171) are inconsistent by sub-proof
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1418.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (all_54_5 = e1)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2173) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_54_5 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2174) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_10_2 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2175) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_10_2 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (2176) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (all_52_7 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (2176) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) ~ (all_52_13 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2176) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) ~ (e3 = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2176) imply:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) op(e2, e2) = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2181) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_56_12 = e2 & op(e0, e3) = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2182) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_56_12 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_56_12 = e3 & op(e0, e3) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2183), (2185) are inconsistent by sub-proof
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1233.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_56_13 = e3 & op(e0, e2) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2186) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_56_13 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) op(e0, e2) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2189) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_56_0 = e3 & op(e3, e3) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2190) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) op(e3, e3) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (79),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (106), (110), (112), (113), (117), (118),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (126), (128), (133), (134),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (141), (143), (145), (146),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (196), (198), (199), (200),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (206), (207), (208), (209),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (213), (214), (215), (217), (219),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (250), (258),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (261), (268), (269), (270), (271), (272),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291), (329), (347), (349), (350), (352), (356),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358), (367), (368), (370), (372), (373), (2079),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081), (2099), (2106), (2122), (2123), (2124),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125), (2126), (2127), (2129), (2130), (2134),
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187), (2188), (2191), (function-axioms) are
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #935.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_56_2 = e3 & op(e2, e3) = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2192) implies:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_56_2 = e3
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_54_13 = e1
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2078), (2194) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1011.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_54_13 = e2
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2177), (2196) are inconsistent by
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1006.
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) ~ (all_54_13 = e2)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_54_13 = e3 | all_54_13 = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2198) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_54_13 = e3
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (2199) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_52_7 = e3
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2200) implies:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_52_7 = e3
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2201) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) ~ (all_52_3 = e3)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_54_12 = e1
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (912), (2203) are inconsistent by sub-proof
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) ~ (all_54_12 = e1)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2205) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_54_12 = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2206) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_52_3 = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2207) implies:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_52_3 = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2208) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (all_52_1 = e2)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2208) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) ~ (all_52_2 = e2)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2208) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) op(e0, e3) = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_54_8 = e1
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (911), (2212) are inconsistent by sub-proof
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #746.
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2214) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (2123), (2180), (2209), (2215),
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2217) implies:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) op(e3, e1) = e1
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2148), (2218), (function-axioms) are
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2219) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2220) implies:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) ~ (all_57_15 = e0)
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) op(e0, e0) = all_57_15
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) op(e0, e3) = e3
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) op(e3, e0) = e3
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2213) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_54_8 = e2
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2210), (2225) are inconsistent by
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #745.
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_54_8 = e3 | all_54_8 = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_54_8 = e3
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2123), (2227) are inconsistent by
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #725.
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_54_8 = e0
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (2228) imply:
% 161.69/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_52_2 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2229) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_52_2 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2230) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) ~ (all_52_1 = e0)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2230) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) ~ (all_52_14 = e0)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2232) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_52_14 = e0)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_56_15 = e0 & op(e0, e0) = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2234) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) op(e0, e0) = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2221), (2222), (2235), (function-axioms) are
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_54_4 = e1
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (910), (2238) are inconsistent by sub-proof
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) ~ (all_54_4 = e1)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2240) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_54_4 = e2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2209), (2241) are inconsistent by
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1317.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_54_4 = e3 | all_54_4 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (224), (269), (910), (2085), (2180),
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193), (2209), (2211), (2223), (2224), (2231),
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233), (2237), (2242), (function-axioms) are
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #724.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2243) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) op(e0, e3) = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2164), (2244), (function-axioms) are
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2245) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2246) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2247) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) op(e2, e1) = e2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2213) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_54_8 = e2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2210), (2249) are inconsistent by
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #745.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_54_8 = e3 | all_54_8 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2250) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_54_8 = e3
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2123), (2251) are inconsistent by
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #725.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_54_8 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (2252) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_52_2 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_52_2 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2254) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) ~ (all_52_1 = e0)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_54_4 = e1
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (910), (2256) are inconsistent by sub-proof
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2257) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_54_4 = e2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2209), (2258) are inconsistent by
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1317.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_54_4 = e3 | all_54_4 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2259) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_54_4 = e3
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2260) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_52_1 = e3
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2261) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_52_1 = e3
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2262) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) ~ (all_52_13 = e3)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2263) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) ~ (all_52_13 = e3)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_54_7 = e1
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2265) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_52_13 = e1
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2079), (2266) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) $false
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2267) is inconsistent.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2268) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_54_7 = e2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2269) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_52_13 = e2
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2178), (2270) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) $false
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2271) is inconsistent.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) ~ (all_54_7 = e2)
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_54_7 = e3 | all_54_7 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2273) gives:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_54_7 = e3
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2264), (2274) are inconsistent by
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #814.
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_54_7 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2275) imply:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_52_13 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2276) implies:
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_52_13 = e0
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2178), (2277) imply:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (e2 = e0)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2086), (2248) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) e2 = e1
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2183), (2279) imply:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_56_12 = e1
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2181) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2182), (2280) are inconsistent by sub-proof
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1218.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_56_13 = e2 & op(e0, e2) = e2
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2281) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) op(e0, e2) = e2
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (248), (2165), (2177), (2195), (2282),
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1003.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (2081), (2156), (2283),
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #984.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_54_4 = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2255), (2284) are inconsistent by
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1315.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2285) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2286) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) ~ (all_57_12 = e2)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) op(e2, e2) = all_57_12
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2180), (2287), (2288), (function-axioms) are
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2289) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) op(e0, e2) = e2
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (248), (2165), (2177), (2198), (2290),
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1004.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2291) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2292) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) op(e0, e2) = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2165), (2293), (function-axioms) are
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2294) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2295) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) op(e0, e1) = e1
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2106), (2296), (function-axioms) are
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2297) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) op(e1, e0) = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (2123), (2210), (2213),
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298), (function-axioms) are inconsistent by
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #723.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_54_12 = e3 | all_54_12 = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2164), (2202), (2299) are inconsistent by
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #721.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_54_13 = e0
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2165), (2300) are inconsistent by
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1005.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_56_6 = e3 & op(e1, e3) = e3
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2302) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) op(e1, e3) = e3
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2123), (2303), (function-axioms) are
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_56_12 = e3 & op(e0, e3) = e3
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2304) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_56_12 = e3
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2183), (2305) are inconsistent by sub-proof
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (2081), (2125), (2306),
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #934.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_56_13 = e2 & op(e0, e2) = e2
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) op(e0, e2) = e2
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (191), (248), (2078), (2165), (2177),
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308), (function-axioms) are inconsistent by
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #817.
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2309) gives:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_56_14 = e2 & op(e0, e1) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2310) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) op(e0, e1) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2129), (2130), (2311), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #720.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_56_15 = e2 & op(e0, e0) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2312) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) op(e0, e0) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2081), (2313), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_54_5 = e3 | all_54_5 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (2170), (2314) are inconsistent by
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_28_2 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (2315) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_10_2 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2316) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_10_2 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (2317) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_50_2 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2317) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) ~ (all_52_4 = e0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) ~ (all_50_2 = e0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2318), (2320) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) $false
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2321) is inconsistent.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) ( ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e0, e0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2322) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2323) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) ~ (all_50_0 = e3)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) op(e2, e0) = all_50_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (920), (2319), (2326),
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #874.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2327) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_56_4 = e0 & op(e3, e1) = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2166), (2328), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_56_9 = e0 & op(e3, e0) = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2329) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) op(e3, e0) = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_56_9 = e3 & op(e3, e0) = e3
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2332) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) op(e3, e0) = e3
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2330), (2333), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_56_10 = e3 & op(e2, e0) = e3
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2334) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) op(e2, e0) = e3
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_0,
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (2325), (2335) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_50_0 = e3
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2324), (2336) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) $false
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2337) is inconsistent.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (2081), (2126), (2338),
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #936.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) ~ (all_50_1 = e1) & op(e0, e0) = all_50_1 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) ~ (all_50_1 = e1)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) op(e0, e0) = all_50_1
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2081), (2340), (2341), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1156.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_56_5 = e2 & op(e2, e1) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2342) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_56_5 = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2085), (2343) are inconsistent by sub-proof
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | #951.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2127), (2129), (2130), (2344),
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | #719.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_56_11 = e3 & op(e1, e0) = e3
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2126), (2345), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2346) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | (2347) ~ (all_22_1 = e3)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | (2348) op(e1, e1) = all_22_1
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2127), (2347), (2348), (function-axioms) are
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #933.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | (2349) all_54_10 = e0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (376), (2349) are inconsistent by sub-proof
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | #1307.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | End of split
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2350) all_24_2 = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (2350) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2351) all_14_2 = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | SIMP: (2351) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2352) all_14_2 = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | REDUCE: (348), (2352) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2353) ~ (all_52_2 = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | REDUCE: (361), (2352) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2354) ~ (all_52_8 = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | REDUCE: (364), (2352) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2355) ~ (all_52_11 = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | REDUCE: (366), (2352) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2356) ~ (all_52_14 = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | REDUCE: (51), (2352) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | (2357) op(e1, e1) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | (2358) ~ (all_38_2 = e1)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | REDUCE: (2077), (2358) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | (2359) $false
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | CLOSE: (2359) is inconsistent.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | (2360) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | (2361) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (2090), (2353), (2361),
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | #718.
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | (2362) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2362) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | (2363) all_56_8 = e2 & op(e1, e1) = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2363) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | (2364) all_56_8 = e2
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (906) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | (2365) ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2365) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | (2366) ~ (all_20_0 = e0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | (2367) op(e3, e1) = all_20_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2360) gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2368) ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2368) implies:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2369) op(e0, e1) = all_38_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e1, e0, simplifying with (157), (2369)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2370) all_52_11 = all_38_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e1, e3, simplifying with (169), (2367)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2371) all_52_8 = all_20_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (2370) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2372) all_54_14 = all_38_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (2371) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2373) all_54_2 = all_20_0
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2370) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2374) ~ (all_52_3 = all_38_0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2371) imply:
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2375) ~ (all_52_4 = all_20_0)
% 161.69/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2370) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2376) ~ (all_52_7 = all_38_0)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2370), (2371) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2377) ~ (all_38_0 = all_20_0)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2377) implies:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2378) ~ (all_38_0 = all_20_0)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2371) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2379) ~ (all_52_12 = all_20_0)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2379) implies:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2380) ~ (all_52_12 = all_20_0)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2354), (2371) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2381) ~ (all_20_0 = e2)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (2371) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2382) ~ (all_20_0 = e1)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2355), (2370) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2383) ~ (all_38_0 = e2)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2106), (2370) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | (2384) ~ (all_38_0 = e1)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_54_2 = e1
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2385) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_20_0 = e1
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2382), (2386) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | (2387) $false
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2387) is inconsistent.
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | (2388) ~ (all_54_2 = e1)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2389) gives:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_54_2 = e2
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2390) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_20_0 = e2
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2381), (2391) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2392) $false
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2392) is inconsistent.
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2393) ~ (all_54_2 = e2)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_54_2 = e3 | all_54_2 = e0
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_54_14 = e1
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2372), (2384), (2395) are inconsistent by
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #932.
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) ~ (all_54_14 = e1)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_54_2 = e3
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2398) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_20_0 = e3
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2375), (2399) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) ~ (all_52_4 = e3)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2380), (2399) imply:
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) ~ (all_52_12 = e3)
% 162.01/23.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2378), (2399) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) ~ (all_38_0 = e3)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2367), (2399) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) op(e3, e1) = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (375), (2400), (2404),
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #717.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2405) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_56_7 = e3 & op(e1, e2) = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2406) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_56_7 = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2090), (2407) are inconsistent by sub-proof
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_56_13 = e3 & op(e0, e2) = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2408) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_56_13 = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) op(e0, e2) = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_56_12 = e2 & op(e0, e3) = e2
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2412) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_56_12 = e2
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) op(e0, e3) = e2
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2415) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_56_4 = e0 & op(e3, e1) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2416) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) op(e3, e1) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2403), (2417), (function-axioms) are
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) all_56_5 = e0 & op(e2, e1) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2418) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_56_5 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2085), (2419) are inconsistent by sub-proof
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #825.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2420) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_56_8 = e0 & op(e1, e1) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2421) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) op(e1, e1) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2357), (2422), (function-axioms) are
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_56_14 = e0 & op(e0, e1) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2423) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_56_14 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2397) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_54_14 = e2
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2372), (2383), (2425) are inconsistent by
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #931.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) ~ (all_54_14 = e2)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_54_14 = e3 | all_54_14 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2427) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_54_14 = e3
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2372), (2402), (2428) are inconsistent by
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #930.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) all_54_14 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2429) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_38_0 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2430) implies:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) all_38_0 = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2374), (2431) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) ~ (all_52_3 = e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2376), (2431) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) ~ (all_52_7 = e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2383), (2431) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) ~ (e2 = e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2384), (2431) imply:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) ~ (e1 = e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2436) gives:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (920), (2091), (2357), (2400), (2403),
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437), (function-axioms) are inconsistent by
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (169), (914), (2401), (2432),
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438), (function-axioms) are inconsistent by
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #714.
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2439) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2440) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2441) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) op(e2, e1) = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2086), (2442) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) e2 = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2413), (2443) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_56_12 = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (2099), (2409), (2424),
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) are inconsistent by sub-proof #1215.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2445) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2446) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) ~ (all_57_12 = e2)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) op(e2, e2) = all_57_12
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (2410) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_52_7 = e3
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2414) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) all_52_3 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (45), (2448)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_57_12 = all_10_2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2447), (2452) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) ~ (all_10_2 = e2)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2450), (2451) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) ~ (e3 = e2)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (2450) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) ~ (all_10_2 = e3)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_54_5 = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2456) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_10_2 = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2457) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) $false
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2458) is inconsistent.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) ~ (all_54_5 = e1)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2461) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_56_1 = e2 & op(e3, e2) = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_56_1 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (920), (2463), (2464), (function-axioms)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #739.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2465) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_56_4 = e0 & op(e3, e1) = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2466) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) op(e3, e1) = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2403), (2467), (function-axioms) are
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_56_9 = e0 & op(e3, e0) = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2468) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_56_9 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2460) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_54_5 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2470) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_10_2 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2453), (2471) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) $false
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2472) is inconsistent.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_54_5 = e3 | all_54_5 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2473) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_54_5 = e3
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2474) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_10_2 = e3
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2475) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) $false
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2476) is inconsistent.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_54_5 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2477) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_10_2 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2478) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) ~ (all_52_4 = e0)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2478) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) ~ (e3 = e0)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2478) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) op(e2, e2) = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_54_1 = e1
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (913), (2482) are inconsistent by sub-proof
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_54_1 = e1)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2484) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_54_1 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2485) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) all_52_4 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2486) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_52_4 = e2
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2487) imply:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) ~ (all_52_12 = e2)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2488) implies:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) ~ (all_52_12 = e2)
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_56_9 = e2 & op(e3, e0) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2491) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_56_9 = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2469), (2492) are inconsistent by sub-proof
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_56_10 = e2 & op(e2, e0) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2493) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) op(e2, e0) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_54_3 = e1
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2495) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_52_12 = e1
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (2496) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) $false
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2497) is inconsistent.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_54_3 = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2499) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_52_12 = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2489), (2500) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) $false
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2501) is inconsistent.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_54_3 = e3 | all_54_3 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2502) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_54_3 = e3
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2503) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_52_12 = e3
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2401), (2504) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) $false
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2505) is inconsistent.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_54_3 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2506) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_52_12 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2507) imply:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) ~ (all_52_14 = e0)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2508) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) ~ (all_52_14 = e0)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_54_11 = e1
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2104), (2510) are inconsistent by
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_54_11 = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2356), (2512) are inconsistent by
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_54_11 = e3 | all_54_11 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2448), (2449), (2481), (2494), (2509),
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513), (function-axioms) are inconsistent by
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #713.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2514) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_56_11 = e2 & op(e1, e0) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2515) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_56_11 = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (2090),
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357), (2516), (function-axioms) are inconsistent
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #710.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_56_15 = e2 & op(e0, e0) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (2409),
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413), (2424), (2517), (function-axioms) are
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_54_1 = e3 | all_54_1 = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2400), (2479), (2518) are inconsistent by
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_56_3 = e2 & op(e2, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2519) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) op(e2, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2447), (2448), (2520), (function-axioms) are
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2521) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_56_7 = e2 & op(e1, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2522) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_56_7 = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (911), (2357), (2364), (2523),
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #753.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_56_13 = e2 & op(e0, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2524) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) op(e0, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2410), (2525), (function-axioms) are
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2526) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) op(e0, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2410), (2527), (function-axioms) are
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2529) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) op(e0, e2) = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2433), (2530), (function-axioms) are
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2531) gives:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2532) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) op(e0, e1) = e1
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2106), (2533), (function-axioms) are
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2534) implies:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) op(e1, e1) = all_57_14
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) ~ (all_57_14 = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_4 & $i(all_57_4))
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2091), (2357), (2535), (2536), (function-axioms)
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #716.
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_56_13 = e2 & op(e0, e2) = e2
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) op(e0, e2) = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2410), (2538), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_56_14 = e2 & op(e0, e1) = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2540) implies:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_56_14 = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (165), (217), (220),
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085), (2086), (2357), (2541), (function-axioms)
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #751.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_56_15 = e2 & op(e0, e0) = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2542) implies:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) op(e0, e0) = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2081), (2543), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_54_2 = e0
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2373), (2544) imply:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_20_0 = e0
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2366), (2545) imply:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) $false
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2546) is inconsistent.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | (2547) ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2547) implies:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | (2548) ~ (all_38_1 = e2)
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | (2549) op(e1, e1) = all_38_1
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2357), (2548), (2549), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | (2550) ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2550) implies:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | (2551) ~ (all_20_1 = e2)
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | (2552) op(e1, e1) = all_20_1
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2357), (2551), (2552), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #709.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | (2553) all_56_11 = e2 & op(e1, e0) = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | (2554) all_56_11 = e2
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (2090),
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | (2357), (2554), (function-axioms) are inconsistent
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | | by sub-proof #710.
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | (2555) all_56_13 = e1 & op(e0, e2) = e1
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | REF_CLOSE: (158), (2078), (2555), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | (2556) all_56_10 = e1 & op(e2, e0) = e1
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | REF_CLOSE: (164), (2079), (2556), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | (2557) all_56_2 = e1 & op(e2, e3) = e1
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | REF_CLOSE: (167), (910), (2557), (function-axioms) are
% 162.01/23.66 | | | | | | | | | | inconsistent by sub-proof #732.
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | End of split
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | | (2558) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1
% 162.01/23.66 | | | | | | | | | & op(e0, e3) = e1)
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | | REF_CLOSE: (159), (163), (911), (912), (2558),
% 162.01/23.66 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.01/23.66 | | | | | | | | | #957.
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | End of split
% 162.01/23.66 | | | | | | | |
% 162.01/23.66 | | | | | | | End of split
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | Case 2:
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | (2559) all_18_2 = e0
% 162.01/23.66 | | | | | | | (2560) ( ~ (all_18_0 = e1) & op(e3, e0) = all_18_0 &
% 162.01/23.66 | | | | | | | $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e0, e0) =
% 162.01/23.66 | | | | | | | all_18_1 & $i(all_18_1))
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | COMBINE_EQS: (327), (2559) imply:
% 162.01/23.66 | | | | | | | (2561) all_4_2 = e0
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | COMBINE_EQS: (281), (2561) imply:
% 162.01/23.66 | | | | | | | (2562) all_48_2 = e0
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (336), (2561) imply:
% 162.01/23.66 | | | | | | | (2563) ~ (all_52_1 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (338), (2561) imply:
% 162.01/23.66 | | | | | | | (2564) ~ (all_52_2 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (340), (2561) imply:
% 162.01/23.66 | | | | | | | (2565) ~ (all_52_3 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (342), (2561) imply:
% 162.01/23.66 | | | | | | | (2566) ~ (all_52_4 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (344), (2561) imply:
% 162.01/23.66 | | | | | | | (2567) ~ (all_52_8 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (346), (2561) imply:
% 162.01/23.66 | | | | | | | (2568) ~ (all_52_12 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (371), (2561) imply:
% 162.01/23.66 | | | | | | | (2569) ~ (e2 = e0)
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | REDUCE: (36), (2561) imply:
% 162.01/23.66 | | | | | | | (2570) op(e3, e3) = e0
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | BETA: splitting (64) gives:
% 162.01/23.66 | | | | | | |
% 162.01/23.66 | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | |
% 162.01/23.66 | | | | | | | | (2571) ~ (all_22_2 = e1)
% 162.01/23.66 | | | | | | | |
% 162.01/23.66 | | | | | | | | REDUCE: (310), (2571) imply:
% 162.01/23.66 | | | | | | | | (2572) ~ (all_6_2 = e1)
% 162.01/23.66 | | | | | | | |
% 162.01/23.66 | | | | | | | | BETA: splitting (67) gives:
% 162.01/23.66 | | | | | | | |
% 162.01/23.66 | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | | (2573) ~ (all_24_2 = e2)
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | | REDUCE: (322), (2573) imply:
% 162.01/23.66 | | | | | | | | | (2574) ~ (all_14_2 = e2)
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | | BETA: splitting (70) gives:
% 162.01/23.66 | | | | | | | | |
% 162.01/23.66 | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | (2575) ~ (all_26_2 = e3)
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | REDUCE: (303), (2575) imply:
% 162.01/23.66 | | | | | | | | | | (2576) ~ (all_14_2 = e3)
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | BETA: splitting (194) gives:
% 162.01/23.66 | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | (2577) all_54_10 = e1
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | COMBINE_EQS: (334), (2577) imply:
% 162.01/23.66 | | | | | | | | | | | (2578) all_14_2 = e1
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (348), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2579) ~ (all_52_2 = e1)
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (359), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2580) ~ (all_52_6 = e1)
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (361), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2581) ~ (all_52_8 = e1)
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (364), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2582) ~ (all_52_11 = e1)
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (366), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2583) ~ (all_52_14 = e1)
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (2576), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2584) ~ (e3 = e1)
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | REDUCE: (51), (2578) imply:
% 162.01/23.66 | | | | | | | | | | | (2585) op(e1, e1) = e1
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | BETA: splitting (73) gives:
% 162.01/23.66 | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | (2586) ~ (all_28_2 = e0)
% 162.01/23.66 | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | REDUCE: (314), (2586) imply:
% 162.01/23.66 | | | | | | | | | | | | (2587) ~ (all_10_2 = e0)
% 162.01/23.66 | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | BETA: splitting (199) gives:
% 162.01/23.66 | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | (2588) all_54_5 = e1
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | REF_CLOSE: (268), (373), (2588) are inconsistent by sub-proof
% 162.01/23.66 | | | | | | | | | | | | | #1418.
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | Case 2:
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | (2589) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | BETA: splitting (2589) gives:
% 162.01/23.66 | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | (2590) all_54_5 = e2
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | COMBINE_EQS: (268), (2590) imply:
% 162.01/23.66 | | | | | | | | | | | | | | (2591) all_10_2 = e2
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | SIMP: (2591) implies:
% 162.01/23.66 | | | | | | | | | | | | | | (2592) all_10_2 = e2
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | REDUCE: (347), (2592) imply:
% 162.01/23.66 | | | | | | | | | | | | | | (2593) ~ (all_52_1 = e2)
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | REDUCE: (350), (2592) imply:
% 162.01/23.66 | | | | | | | | | | | | | | (2594) ~ (all_52_4 = e2)
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | REDUCE: (358), (2592) imply:
% 162.01/23.66 | | | | | | | | | | | | | | (2595) ~ (all_52_13 = e2)
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | REDUCE: (45), (2592) imply:
% 162.01/23.66 | | | | | | | | | | | | | | (2596) op(e2, e2) = e2
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 162.01/23.66 | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | (2597) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.01/23.66 | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.01/23.66 | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.01/23.66 | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.01/23.66 | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.01/23.66 | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.01/23.66 | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.01/23.66 | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.01/23.66 | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 162.01/23.66 | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.01/23.66 | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 162.01/23.66 | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.01/23.66 | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 162.01/23.66 | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 162.01/23.66 | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.01/23.66 | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.01/23.66 | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.01/23.66 | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.66 | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.66 | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.01/23.66 | | | | | | | | | | | | | | | = all_57_10)))
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | BETA: splitting (2597) gives:
% 162.01/23.66 | | | | | | | | | | | | | | |
% 162.01/23.66 | | | | | | | | | | | | | | | Case 1:
% 162.01/23.66 | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | (2598) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.01/23.67 | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.01/23.67 | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.01/23.67 | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.01/23.67 | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_13))))
% 162.01/23.67 | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2585), (2593), (2596), (2598),
% 162.01/23.67 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.01/23.67 | | | | | | | | | | | | | | | | #907.
% 162.01/23.67 | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | (2599) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 162.01/23.67 | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 162.01/23.67 | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 162.01/23.67 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.01/23.67 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 162.01/23.67 | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 162.01/23.67 | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | BETA: splitting (2599) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | (2600) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 162.01/23.67 | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 162.01/23.67 | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 162.01/23.67 | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 162.01/23.67 | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | ALPHA: (2600) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | (2601) op(e3, e1) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2581), (2601), (function-axioms) are
% 162.01/23.67 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | (2602) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.01/23.67 | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.01/23.67 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.01/23.67 | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.01/23.67 | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.01/23.67 | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.01/23.67 | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.01/23.67 | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.01/23.67 | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.01/23.67 | | | | | | | | | | | | | | | | | = all_57_10)))
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | BETA: splitting (2602) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2603) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 162.01/23.67 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.01/23.67 | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | ALPHA: (2603) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2604) ~ (all_57_15 = e0)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2605) op(e0, e0) = all_57_15
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2606) op(e0, e3) = e3
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2607) op(e3, e0) = e3
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 162.01/23.67 | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (39), (2605)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2608) all_57_15 = all_6_2
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 162.01/23.67 | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2606) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2609) all_52_3 = e3
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 162.01/23.67 | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (2607) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2610) all_52_12 = e3
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | REDUCE: (2604), (2608) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2611) ~ (all_6_2 = e0)
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | REDUCE: (148), (2609) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2612) ~ (all_52_1 = e3)
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | REDUCE: (133), (2610) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2613) ~ (all_52_4 = e3)
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | REDUCE: (120), (2610) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2614) ~ (all_52_8 = e3)
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | REDUCE: (368), (2610) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | (2615) ~ (all_6_2 = e3)
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | (2616) all_54_4 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2616) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | (2617) all_52_1 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2617) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | (2618) ~ (all_52_13 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | SIMP: (2618) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | (2619) ~ (all_52_13 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | (2620) all_54_2 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (2620) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | (2621) all_52_8 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (2581), (2621) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | (2622) $false
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | CLOSE: (2622) is inconsistent.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | (2623) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | (2624) all_54_15 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2572), (2624) are inconsistent by
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | (2625) ~ (all_54_15 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | (2626) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2627) all_54_1 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2627) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2628) all_52_4 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2628) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2629) ~ (all_52_6 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2628) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2630) ~ (all_52_7 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2630) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2631) ~ (all_52_7 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2628) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2632) ~ (all_52_8 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2594), (2628) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2633) ~ (e2 = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | (2634) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_56_1 = e1 & op(e3, e2) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2635) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_56_1 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | (2637) op(e3, e2) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_54_2 = e2
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (2638) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_52_8 = e2
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2639) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_52_8 = e2
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2614), (2640) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2641) ~ (e3 = e2)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (2640) imply:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2642) op(e3, e1) = e2
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2643) gives:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_56_9 = e1 & op(e3, e0) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2644) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_56_9 = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636), (2637), (2642), (2645), (function-axioms)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #707.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_56_10 = e1 & op(e2, e0) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2619), (2646), (function-axioms) are
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (246), (372), (2572), (2583), (2611),
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2626), (2647), (function-axioms) are inconsistent
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1350.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_54_2 = e3 | all_54_2 = e0
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (2567), (2614), (2648) are inconsistent by
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_56_3 = e1 & op(e2, e2) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2649) implies:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | (2650) op(e2, e2) = e1
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2596), (2650), (function-axioms) are
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | (2651) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (2580), (2631), (2651),
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | | #706.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | (2652) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2566), (2594), (2613), (2652) are
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | (2653) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2563), (2593), (2612), (2653) are
% 162.01/23.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 162.01/23.67 | | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | | End of split
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.01/23.67 | | | | | | | | | | | | | | | | | Case 2:
% 162.01/23.67 | | | | | | | | | | | | | | | | | |
% 162.21/23.67 | | | | | | | | | | | | | | | | | | (2654) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.21/23.67 | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 162.21/23.67 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.21/23.67 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 162.21/23.67 | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 162.21/23.67 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 162.21/23.67 | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 162.21/23.67 | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 162.21/23.67 | | | | | | | | | | | | | | | | | |
% 162.21/23.67 | | | | | | | | | | | | | | | | | | ALPHA: (2654) implies:
% 162.21/23.67 | | | | | | | | | | | | | | | | | | (2655) op(e0, e3) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2565), (2655), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | (2656) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.21/23.68 | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.21/23.68 | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.21/23.68 | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.21/23.68 | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.21/23.68 | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.21/23.68 | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.21/23.68 | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.21/23.68 | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.21/23.68 | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.21/23.68 | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.21/23.68 | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.21/23.68 | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 162.21/23.68 | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 162.21/23.68 | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 162.21/23.68 | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 162.21/23.68 | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 162.21/23.68 | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 162.21/23.68 | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.21/23.68 | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 162.21/23.68 | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 162.21/23.68 | | | | | | | | | | | | | | | = all_57_14)))
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | (2657) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.21/23.68 | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.21/23.68 | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.21/23.68 | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.21/23.68 | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.21/23.68 | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.21/23.68 | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.21/23.68 | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.21/23.68 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.21/23.68 | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.21/23.68 | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.21/23.68 | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (2580), (2585), (2595), (2657),
% 162.21/23.68 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.68 | | | | | | | | | | | | | | | | #705.
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | (2658) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 162.21/23.68 | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 162.21/23.68 | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 162.21/23.68 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 162.21/23.68 | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 162.21/23.68 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 162.21/23.68 | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.21/23.68 | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 162.21/23.68 | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2582), (2585), (2596), (2658),
% 162.21/23.68 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.68 | | | | | | | | | | | | | | | | #895.
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | (2659) all_54_5 = e3 | all_54_5 = e0
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (2587), (2659) are inconsistent by
% 162.21/23.68 | | | | | | | | | | | | | | sub-proof #1400.
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | (2660) all_28_2 = e0
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | COMBINE_EQS: (314), (2660) imply:
% 162.21/23.68 | | | | | | | | | | | | (2661) all_10_2 = e0
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | SIMP: (2661) implies:
% 162.21/23.68 | | | | | | | | | | | | (2662) all_10_2 = e0
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | REDUCE: (352), (2662) imply:
% 162.21/23.68 | | | | | | | | | | | | (2663) ~ (all_52_6 = e0)
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | REDUCE: (354), (2662) imply:
% 162.21/23.68 | | | | | | | | | | | | (2664) ~ (all_52_7 = e0)
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | REDUCE: (356), (2662) imply:
% 162.21/23.68 | | | | | | | | | | | | (2665) ~ (all_52_9 = e0)
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | REDUCE: (375), (2662) imply:
% 162.21/23.68 | | | | | | | | | | | | (2666) ~ (e3 = e0)
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | REDUCE: (373), (2662) imply:
% 162.21/23.68 | | | | | | | | | | | | (2667) ~ (e1 = e0)
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | BETA: splitting (225) gives:
% 162.21/23.68 | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | (2668) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 162.21/23.68 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 162.21/23.68 | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 162.21/23.68 | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | (2669) all_56_1 = e0 & op(e3, e2) = e0
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | REF_CLOSE: (170), (2566), (2669), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | inconsistent by sub-proof #1202.
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | (2670) all_56_3 = e0 & op(e2, e2) = e0
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 162.21/23.68 | | | | | | | | | | | | | | (2671) all_56_3 = e0
% 162.21/23.68 | | | | | | | | | | | | | | (2672) op(e2, e2) = e0
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 162.21/23.68 | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | (2673) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 162.21/23.68 | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | (2674) all_56_4 = e0 & op(e3, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2567), (2674), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | (2675) all_56_5 = e0 & op(e2, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2665), (2675), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | (2676) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 162.21/23.68 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | BETA: splitting (2676) gives:
% 162.21/23.68 | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | (2677) all_56_8 = e0 & op(e1, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | ALPHA: (2677) implies:
% 162.21/23.68 | | | | | | | | | | | | | | | | (2678) op(e1, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2585), (2678), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | (2679) all_56_14 = e0 & op(e0, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | ALPHA: (2679) implies:
% 162.21/23.68 | | | | | | | | | | | | | | | | (2680) all_56_14 = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | (2681) op(e0, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 162.21/23.68 | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | (2682) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2683) all_56_6 = e0 & op(e1, e3) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2564), (2683), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2684) all_56_7 = e0 & op(e1, e2) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2663), (2684), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | End of split
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | (2685) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 162.21/23.68 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | BETA: splitting (2685) gives:
% 162.21/23.68 | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2686) all_56_8 = e0 & op(e1, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | ALPHA: (2686) implies:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2687) op(e1, e1) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2585), (2687), (function-axioms) are
% 162.21/23.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2688) all_56_11 = e0 & op(e1, e0) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | ALPHA: (2688) implies:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2689) op(e1, e0) = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 162.21/23.68 | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2681) gives:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2690) all_52_11 = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 162.21/23.68 | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2689) gives:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2691) all_52_14 = e0
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | REDUCE: (110), (2691) imply:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2692) ~ (all_52_13 = e0)
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | REDUCE: (370), (2691) imply:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2693) ~ (all_6_2 = e0)
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | SIMP: (2693) implies:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | (2694) ~ (all_6_2 = e0)
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 162.21/23.68 | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | | (2695) all_54_15 = e1
% 162.21/23.68 | | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2695) imply:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | | (2696) all_6_2 = e1
% 162.21/23.68 | | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | | REDUCE: (2572), (2696) imply:
% 162.21/23.68 | | | | | | | | | | | | | | | | | | | (2697) $false
% 162.21/23.68 | | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | | CLOSE: (2697) is inconsistent.
% 162.21/23.68 | | | | | | | | | | | | | | | | | | |
% 162.21/23.68 | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | (2698) ~ (all_54_15 = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | (2699) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 162.21/23.69 | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (2699) gives:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | (2700) all_54_15 = e2
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2700) imply:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | (2701) all_6_2 = e2
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (2701) imply:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_52_7 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (2701) imply:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | (2703) ~ (all_52_12 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2701) imply:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | (2704) ~ (all_52_13 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2701) imply:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | (2705) op(e0, e0) = e2
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | (2706) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2706) gives:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (2707) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (2708) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2708) implies:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (2709) op(e2, e2) = e3
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2672), (2709), (function-axioms) are
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (2710) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2710) gives:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_2 = e0 & op(e0,
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2711) implies:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | (2712) op(e1, e1) = e3
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2585), (2712), (function-axioms) are
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2713) implies:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | (2714) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2664), (2705), (2714), (function-axioms)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #704.
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (2715) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (2570), (2580), (2672), (2715),
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | | #702.
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.69 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (2716) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2716) gives:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | (2717) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (2718) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2718) implies:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (2719) (all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2672), (2704), (2719), (function-axioms)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #771.
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (2720) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2720) gives:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2721) implies:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | (2722) op(e3, e3) = e3
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2570), (2722), (function-axioms) are
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2723) implies:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | (2724) op(e2, e0) = e2
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2704), (2724), (function-axioms) are
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.70 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (2725) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2725) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (2726) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2726) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (2727) op(e2, e2) = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2672), (2727), (function-axioms) are
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (2728) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2729) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | (2730) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2560) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2731) ~ (all_18_0 = e1) & op(e3, e0) = all_18_0 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2731) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2732) ~ (all_18_0 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2733) op(e3, e0) = all_18_0
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e0, e3, simplifying with (168), (2733)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_52_12 = all_18_0
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2734) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_54_3 = all_18_0
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2734) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_52_4 = all_18_0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2734) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2737) ~ (all_52_8 = all_18_0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2734) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2738) ~ (all_52_13 = all_18_0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2738) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_52_13 = all_18_0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2703), (2734) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2740) ~ (all_18_0 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2568), (2734) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2741) ~ (all_18_0 = e0)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_54_3 = e1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2735), (2742) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_18_0 = e1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2743) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_18_0 = e1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2732), (2744) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) $false
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2745) is inconsistent.
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) ~ (all_54_3 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_54_3 = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2735), (2748) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_18_0 = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2749) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_18_0 = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2740), (2750) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) $false
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2751) is inconsistent.
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_54_3 = e3 | all_54_3 = e0
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_54_3 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2735), (2753) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_18_0 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2754) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_18_0 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2736), (2755) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) ~ (all_52_4 = e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2737), (2755) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) ~ (all_52_8 = e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2739), (2755) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) ~ (all_52_13 = e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2759) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_56_4 = e3 & op(e3, e1) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2760) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) op(e3, e1) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2757), (2761), (function-axioms) are
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_56_5 = e3 & op(e2, e1) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2762) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_56_5 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) op(e2, e1) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_54_2 = e1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (2581), (2765) are inconsistent by
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1191.
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) ~ (all_54_2 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_54_2 = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (2768) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_52_8 = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2769) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_52_8 = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2770) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) ~ (all_52_4 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2770) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) ~ (all_52_9 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2772) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) ~ (all_52_9 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2757), (2770) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) ~ (e3 = e2)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (2770) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) op(e3, e1) = e2
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_56_9 = e3 & op(e3, e0) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2777) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_56_9 = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2730) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_57_6 = e3 & op(e3, e1) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2779) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) op(e3, e1) = e3
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2757), (2780), (function-axioms) are
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) ~ (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2781) implies:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) ~ (all_57_10 = e1)
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) op(e3, e3) = all_57_10
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_54_7 = e1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (2784) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_52_13 = e1
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2785) imply:
% 162.21/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) ~ (all_52_1 = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2704), (2785) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) ~ (e2 = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_56_0 = e1 & op(e3, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2789) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) op(e3, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2782), (2783), (2790), (function-axioms) are
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #893.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_56_1 = e1 & op(e3, e2) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2791) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_56_1 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2793) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_56_0 = e1 & op(e3, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2794) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) op(e3, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (2567), (2792), (2795), (function-axioms)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_56_2 = e1 & op(e2, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2786), (2796), (function-axioms) are
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #732.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2797) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_56_6 = e1 & op(e1, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2798) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) op(e1, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2579), (2799), (function-axioms) are
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_56_12 = e1 & op(e0, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2800) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_56_12 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) op(e0, e3) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_54_1 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2803) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_52_4 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2804) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_52_4 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2805) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) ~ (all_52_6 = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2805) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) ~ (all_52_7 = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) ~ (all_52_7 = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2805) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) op(e3, e2) = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_54_13 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2808), (2810) are inconsistent by
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1011.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) ~ (all_54_13 = e1)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2813) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_56_12 = e3 & op(e0, e3) = e3
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2814) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_56_12 = e3
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2801), (2815) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) e3 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2816) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) e3 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2778), (2817) imply:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_56_9 = e1
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775), (2792), (2809), (2818), (function-axioms)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #707.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_56_13 = e3 & op(e0, e2) = e3
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_56_13 = e3
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2812) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_54_13 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2702), (2821) are inconsistent by
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1006.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) ~ (all_54_13 = e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_54_13 = e3 | all_54_13 = e0
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2824) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_56_2 = e2 & op(e2, e3) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2825) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_56_2 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) op(e2, e3) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2828) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_56_4 = e2 & op(e3, e1) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2829) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_56_4 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2831) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_56_1 = e2 & op(e3, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2832) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) op(e3, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (2570), (2778), (2830),
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833), (function-axioms) are inconsistent by
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #701.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_56_3 = e2 & op(e2, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2834) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) op(e2, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2672), (2835), (function-axioms) are
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_56_7 = e2 & op(e1, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_56_7 = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2839) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2840) gives:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) op(e3, e2) = e3
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2809), (2842), (function-axioms) are
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1186.
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2843) gives:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2844) implies:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) op(e3, e2) = e2
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (2672), (2820), (2838),
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845), (function-axioms) are inconsistent by
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1129.
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2846) implies:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) ~ (all_57_14 = e1)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) op(e1, e1) = all_57_14
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2585), (2847), (2848), (function-axioms) are
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2849) gives:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2850) implies:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) op(e3, e1) = e1
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2581), (2851), (function-axioms) are
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2852) gives:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2853) implies:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) op(e0, e3) = e3
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2823) gives:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_54_13 = e3
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (2855) imply:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_52_7 = e3
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2856) implies:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_52_7 = e3
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2802), (2854) gives:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) e3 = e1
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2778), (2858) imply:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_56_9 = e1
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (234), (236),
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775), (2792), (2809), (2859), (function-axioms)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #707.
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_54_13 = e0
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2664), (2860) are inconsistent by
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1005.
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2861) implies:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) op(e0, e3) = e0
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2565), (2862), (function-axioms) are
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2863) gives:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2864) gives:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2865) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) ~ (all_57_14 = e1)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) op(e1, e1) = all_57_14
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2585), (2866), (2867), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2868) gives:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2869) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) op(e2, e1) = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (2764), (2870), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2871) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) op(e0, e2) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (248), (2664), (2702), (2823), (2872),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1004.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (2582), (2585), (2664), (2873),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #700.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_56_13 = e2 & op(e0, e2) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2874) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) op(e0, e2) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (248), (2664), (2702), (2823), (2875),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1004.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_56_5 = e2 & op(e2, e1) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2876) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) op(e2, e1) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2773), (2877), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_56_8 = e2 & op(e1, e1) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (162), (163), (214), (2579), (2580),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583), (2879), (function-axioms) are inconsistent
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #888.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_56_14 = e2 & op(e0, e1) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2880) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_56_14 = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2680), (2881) imply:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) e2 = e0
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2826), (2882) imply:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_56_2 = e0
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (145), (164), (167), (223), (2671),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763), (2827), (2883), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1068.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_56_3 = e2 & op(e2, e2) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2884) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) op(e2, e2) = e2
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2672), (2885), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (2704), (2773), (2886),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #699.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2887) gives:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_56_14 = e3 & op(e0, e1) = e3
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2680), (2888) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #993.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_56_15 = e3 & op(e0, e0) = e3
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2889) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) op(e0, e0) = e3
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2705), (2890), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2566), (2756), (2771), (2891) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_56_4 = e1 & op(e3, e1) = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2893) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) op(e3, e1) = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2581), (2894), (function-axioms) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_56_9 = e1 & op(e3, e0) = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2895) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_56_9 = e1
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2778), (2896) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #832.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2692), (2704), (2758), (2897) are
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #811.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_56_10 = e3 & op(e2, e0) = e3
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2898) implies:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_56_10 = e3
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (223),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763), (2899), (function-axioms) are inconsistent
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1283.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (2689), (2705), (2900),
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #841.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_54_2 = e3 | all_54_2 = e0
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (2567), (2757), (2901) are inconsistent by
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2902) gives:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_56_8 = e3 & op(e1, e1) = e3
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2903) implies:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) op(e1, e1) = e3
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2585), (2904), (function-axioms) are
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_56_14 = e3 & op(e0, e1) = e3
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2680), (2905) are inconsistent by sub-proof
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #993.
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_54_3 = e0
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2735), (2906) imply:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_18_0 = e0
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2907) implies:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_18_0 = e0
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2741), (2908) imply:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) $false
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2909) is inconsistent.
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2910) ~ (all_18_1 = e2) & op(e0, e0) = all_18_1 &
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2910) implies:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2911) ~ (all_18_1 = e2)
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2912) op(e0, e0) = all_18_1
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2705), (2911), (2912), (function-axioms) are
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #698.
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (2913) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 162.21/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (159), (164), (2565), (2664), (2672),
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | (2704), (2705), (2913), (function-axioms) are
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #697.
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2914) all_54_15 = e3 | all_54_15 = e0
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (2694), (2914) are inconsistent by
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | (2915) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 162.50/23.75 | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | REF_CLOSE: (158), (162), (2663), (2664), (2915),
% 162.50/23.75 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.75 | | | | | | | | | | | | | #696.
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | (2916) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | REF_CLOSE: (334), (376), (2574), (2576), (2916) are
% 162.50/23.75 | | | | | | | | | | | inconsistent by sub-proof #956.
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | (2917) all_26_2 = e3
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | COMBINE_EQS: (303), (2917) imply:
% 162.50/23.75 | | | | | | | | | | (2918) all_14_2 = e3
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | COMBINE_EQS: (332), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2919) all_42_2 = e3
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | REDUCE: (348), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2920) ~ (all_52_2 = e3)
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | REDUCE: (359), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2921) ~ (all_52_6 = e3)
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | REDUCE: (361), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2922) ~ (all_52_8 = e3)
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | REDUCE: (362), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2923) ~ (all_52_9 = e3)
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | REDUCE: (364), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2924) ~ (all_52_11 = e3)
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | REDUCE: (366), (2918) imply:
% 162.50/23.75 | | | | | | | | | | (2925) ~ (all_52_14 = e3)
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | BETA: splitting (94) gives:
% 162.50/23.75 | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | (2926) ~ (all_42_2 = e3)
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | REDUCE: (2919), (2926) imply:
% 162.50/23.75 | | | | | | | | | | | (2927) $false
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | CLOSE: (2927) is inconsistent.
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | (2928) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 162.50/23.75 | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 162.50/23.75 | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | BETA: splitting (2928) gives:
% 162.50/23.75 | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | (2929) ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 162.50/23.75 | | | | | | | | | | | | $i(all_42_0)
% 162.50/23.75 | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | ALPHA: (2929) implies:
% 162.50/23.75 | | | | | | | | | | | | (2930) ~ (all_42_0 = e2)
% 162.50/23.75 | | | | | | | | | | | | (2931) op(e1, e3) = all_42_0
% 162.50/23.75 | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | BETA: splitting (216) gives:
% 162.50/23.75 | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | (2932) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 162.50/23.75 | | | | | | | | | | | | | & op(e1, e2) = e3)
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | REF_CLOSE: (162), (163), (2920), (2921), (2932),
% 162.50/23.75 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.75 | | | | | | | | | | | | | #837.
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | (2933) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 162.50/23.75 | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | BETA: splitting (2933) gives:
% 162.50/23.75 | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | (2934) all_56_8 = e3 & op(e1, e1) = e3
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | ALPHA: (2934) implies:
% 162.50/23.75 | | | | | | | | | | | | | | (2935) all_56_8 = e3
% 162.50/23.75 | | | | | | | | | | | | | | (2936) op(e1, e1) = e3
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 162.50/23.75 | | | | | | | | | | | | | | all_42_0, e3, e1, simplifying with (163), (2931)
% 162.50/23.75 | | | | | | | | | | | | | | gives:
% 162.50/23.75 | | | | | | | | | | | | | | (2937) all_52_2 = all_42_0
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | COMBINE_EQS: (259), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2938) all_54_8 = all_42_0
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | REDUCE: (149), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2939) ~ (all_52_1 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | REDUCE: (144), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2940) ~ (all_52_3 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | SIMP: (2940) implies:
% 162.50/23.75 | | | | | | | | | | | | | | (2941) ~ (all_52_3 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | REDUCE: (143), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2942) ~ (all_52_6 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | SIMP: (2942) implies:
% 162.50/23.75 | | | | | | | | | | | | | | (2943) ~ (all_52_6 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | REDUCE: (141), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2944) ~ (all_52_14 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | SIMP: (2944) implies:
% 162.50/23.75 | | | | | | | | | | | | | | (2945) ~ (all_52_14 = all_42_0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | REDUCE: (2920), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2946) ~ (all_42_0 = e3)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | REDUCE: (2564), (2937) imply:
% 162.50/23.75 | | | | | | | | | | | | | | (2947) ~ (all_42_0 = e0)
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 162.50/23.75 | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | (2948) all_54_8 = e1
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | COMBINE_EQS: (2938), (2948) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | (2949) all_42_0 = e1
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | REDUCE: (2939), (2949) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | (2950) ~ (all_52_1 = e1)
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | REDUCE: (2941), (2949) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | (2951) ~ (all_52_3 = e1)
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | REDUCE: (2943), (2949) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | (2952) ~ (all_52_6 = e1)
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | REDUCE: (2945), (2949) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | (2953) ~ (all_52_14 = e1)
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | REDUCE: (2946), (2949) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | (2954) ~ (e3 = e1)
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 162.50/23.75 | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | (2955) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 162.50/23.75 | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 162.50/23.75 | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | BETA: splitting (2955) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | (2956) all_56_6 = e1 & op(e1, e3) = e1
% 162.50/23.75 | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | ALPHA: (2956) implies:
% 162.50/23.75 | | | | | | | | | | | | | | | | | (2957) all_56_6 = e1
% 162.50/23.75 | | | | | | | | | | | | | | | | | (2958) op(e1, e3) = e1
% 162.50/23.75 | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | (2959) ~ (all_28_2 = e0)
% 162.50/23.75 | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | REDUCE: (314), (2959) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | (2960) ~ (all_10_2 = e0)
% 162.50/23.75 | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | (2961) all_54_5 = e1
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2961) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | (2962) all_10_2 = e1
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2962) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | (2963) $false
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | CLOSE: (2963) is inconsistent.
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | (2964) ~ (all_54_5 = e1)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | (2965) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (2965) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2966) all_54_5 = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2966) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2967) all_10_2 = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (2967) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2968) ~ (all_52_1 = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2967) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2969) ~ (all_52_4 = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2967) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2970) ~ (all_52_6 = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (2967) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2971) ~ (all_52_9 = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2967) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2972) ~ (e3 = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2967) imply:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | (2973) op(e2, e2) = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | (2974) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2974) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (2975) all_56_6 = e2 & op(e1, e3) = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2975) implies:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (2976) op(e1, e3) = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2958), (2976), (function-axioms) are
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (2977) all_56_7 = e2 & op(e1, e2) = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (2978) all_56_7 = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (225),
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (226), (228), (2921), (2973), (2978),
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | #795.
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | (2979) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2979) gives:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (2980) all_56_8 = e2 & op(e1, e1) = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2980) implies:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | (2981) op(e1, e1) = e2
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2936), (2981), (function-axioms) are
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.75 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | (2982) all_56_11 = e2 & op(e1, e0) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | (2983) all_56_11 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | (2984) op(e1, e0) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | (2985) all_54_9 = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2952), (2985) are inconsistent by
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | (2986) ~ (all_54_9 = e1)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | (2987) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | (2988) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2988) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_56_1 = e2 & op(e3, e2) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2989) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2990) op(e3, e2) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2969), (2990), (function-axioms) are
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_56_3 = e2 & op(e2, e2) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2991) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_56_3 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2993) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_56_6 = e0 & op(e1, e3) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2994) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) op(e1, e3) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2958), (2995), (function-axioms) are
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_56_7 = e0 & op(e1, e2) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2996) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_56_7 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2987) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_54_9 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2970), (2998) are inconsistent by
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) ~ (all_54_9 = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_54_9 = e3 | all_54_9 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_54_4 = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3001) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_52_1 = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2950), (3002) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) $false
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3003) is inconsistent.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) ~ (all_54_4 = e1)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3005) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_54_4 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3006) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_52_1 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2968), (3007) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) $false
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3008) is inconsistent.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) ~ (all_54_4 = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_54_4 = e3 | all_54_4 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (2570), (2968), (3011),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #694.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_56_6 = e2 & op(e1, e3) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3013) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) op(e1, e3) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2958), (3014), (function-axioms) are
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_56_12 = e2 & op(e0, e3) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3015) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) all_56_12 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3010) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_54_4 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3017) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_52_1 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (3018) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) op(e2, e3) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3020) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_56_9 = e3 & op(e3, e0) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3021) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_56_9 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) op(e3, e0) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3024) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_56_9 = e1 & op(e3, e0) = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3022), (3025) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_56_10 = e1 & op(e2, e0) = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3026) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_56_10 = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_56_15 = e0 & op(e0, e0) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3028) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) op(e0, e0) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3030) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_56_12 = e3 & op(e0, e3) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3031) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_56_12 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3016), (3032) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_56_13 = e3 & op(e0, e2) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3033) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_56_13 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) op(e0, e2) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570), (2992), (2997), (3034), (3035), (3036),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #692.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3037) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_56_4 = e2 & op(e3, e1) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3038) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) op(e3, e1) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3000) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_54_9 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2921), (3040) are inconsistent by
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1142.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_54_9 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3041) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) all_52_6 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3042) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) all_52_6 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3043) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) ~ (all_52_7 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3044) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) ~ (all_52_7 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3043) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) ~ (all_52_14 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3046) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) ~ (all_52_14 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (158), (159), (160), (162), (163),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (239), (2565), (2920), (2952),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968), (2971), (2973), (2984), (3029), (3035),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039), (3045), (3047), (function-axioms) are
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) all_56_9 = e2 & op(e3, e0) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3048) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) op(e3, e0) = e2
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3023), (3049), (function-axioms) are
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (2924), (3029), (3050),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3051) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (2983), (3023), (3027), (3052),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #734.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (160), (2572), (2984), (3053),
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) all_56_10 = e3 & op(e2, e0) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3054) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_56_10 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_56_15 = e0 & op(e0, e0) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3056) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) op(e0, e0) = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_56_12 = e3 & op(e0, e3) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3059) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_56_12 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3016), (3060) are inconsistent by sub-proof
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_56_13 = e3 & op(e0, e2) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3061) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_56_13 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) op(e0, e2) = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3064) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_56_9 = e1 & op(e3, e0) = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3065) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_56_9 = e1
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3000) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_54_9 = e3
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2921), (3067) are inconsistent by
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1142.
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) all_54_9 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3068) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_52_6 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3069) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_52_6 = e0
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3070) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_52_7 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3071) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) ~ (all_52_7 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3070) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) ~ (all_52_14 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3073) implies:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) ~ (all_52_14 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2921), (3070) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) ~ (e3 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2952), (3070) imply:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) ~ (e1 = e0)
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570), (2992), (2997), (3062), (3063), (3077),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #692.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_56_4 = e2 & op(e3, e1) = e2
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3079) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) op(e3, e1) = e2
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (158), (159), (160), (162), (163),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (239), (2565), (2920), (2952),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968), (2971), (2973), (2984), (3057), (3063),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072), (3074), (3080), (function-axioms) are
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_56_9 = e2 & op(e3, e0) = e2
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3081) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_56_9 = e2
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3066), (3082) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1199.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_56_10 = e1 & op(e2, e0) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3055), (3083) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1284.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (160), (2984), (3057), (3084),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #687.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (2924), (3057), (3085),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3088) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_56_12 = e3 & op(e0, e3) = e3
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3089) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_56_12 = e3
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3016), (3090) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_56_13 = e3 & op(e0, e2) = e3
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3091) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_56_13 = e3
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) op(e0, e2) = e3
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2973), (3019), (3094),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #686.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3095) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_56_5 = e1 & op(e2, e1) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3096) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_56_5 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) op(e2, e1) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3099) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_56_12 = e1 & op(e0, e3) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2951), (3100), (function-axioms) are
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_56_13 = e1 & op(e0, e2) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3101) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_56_13 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3092), (3102) imply:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) e3 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3103) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) e3 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3055), (3104) imply:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_56_10 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (221),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (375), (3097), (3098), (3105),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #778.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3106) gives:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_56_14 = e1 & op(e0, e1) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3107) implies:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_56_14 = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (3016), (3087), (3093), (3108),
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #685.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_56_15 = e1 & op(e0, e0) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (2572), (3109), (function-axioms) are
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_56_10 = e1 & op(e2, e0) = e1
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.50/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3110) implies:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_56_10 = e1
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3055), (3111) are inconsistent by sub-proof
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3112) gives:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_56_14 = e3 & op(e0, e1) = e3
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2924), (3113), (function-axioms) are
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_56_15 = e3 & op(e0, e0) = e3
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (3114), (function-axioms) are
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3115) gives:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_56_11 = e3 & op(e1, e0) = e3
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2925), (3116), (function-axioms) are
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_56_15 = e3 & op(e0, e0) = e3
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (3117), (function-axioms) are
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_54_4 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3118) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_52_1 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2563), (3119) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) $false
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3120) is inconsistent.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (2936), (2983), (3121),
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | #1104.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (3122) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3122) gives:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_56_7 = e2 & op(e1, e2) = e2
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3123) implies:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_56_7 = e2
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (225),
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (2921), (2973), (3124),
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | #795.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_56_13 = e2 & op(e0, e2) = e2
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3125) implies:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_56_13 = e2
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3127) op(e0, e2) = e2
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (225),
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (2921), (2973), (3126), (3127),
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | #682.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | (3128) all_54_5 = e3 | all_54_5 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (2960), (3128) are inconsistent by
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3129) all_28_2 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (3129) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3130) all_10_2 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | SIMP: (3130) implies:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3131) all_10_2 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (352), (3131) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3132) ~ (all_52_6 = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (354), (3131) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3133) ~ (all_52_7 = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (356), (3131) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3134) ~ (all_52_9 = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (375), (3131) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3135) ~ (e3 = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (373), (3131) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3136) ~ (e1 = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (45), (3131) imply:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | (3137) op(e2, e2) = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 162.60/23.77 | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | (3138) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (2958), (3132), (3138),
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | #681.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | (3139) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | (3140) all_56_8 = e0 & op(e1, e1) = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (3140) implies:
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | (3141) op(e1, e1) = e0
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2936), (3141), (function-axioms) are
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | (3142) all_56_11 = e0 & op(e1, e0) = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (3142) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | (3143) all_56_11 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | (3144) all_54_9 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2952), (3144) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_54_9 = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | (3146) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3146) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3147) all_54_9 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3147) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3148) all_52_6 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3148) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3149) all_52_6 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3149) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3150) ~ (all_52_4 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3149) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3151) ~ (all_52_14 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3151) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3152) ~ (all_52_14 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2921), (3149) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | (3153) ~ (e3 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | (3154) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3154) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_56_4 = e0 & op(e3, e1) = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2567), (3155), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_56_5 = e0 & op(e2, e1) = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3134), (3156), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | (3157) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3157) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_8 = e0 & op(e1, e1) = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3158) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | (3159) op(e1, e1) = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2936), (3159), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_56_14 = e0 & op(e0, e1) = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3160) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_56_14 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3162) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3162) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_56_6 = e2 & op(e1, e3) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3163) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) op(e1, e3) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2958), (3164), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_56_7 = e2 & op(e1, e2) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3165) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_56_7 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3167) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_56_12 = e1 & op(e0, e3) = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2951), (3168), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_56_13 = e1 & op(e0, e2) = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_56_13 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) op(e0, e2) = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_54_11 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2953), (3172) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) ~ (all_54_11 = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3174) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_54_11 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (3152), (3175) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_54_11 = e3 | all_54_11 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3177) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_56_1 = e3 & op(e3, e2) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3178) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_56_1 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3176) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_54_11 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2925), (3180) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1117.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_54_11 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3181) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_52_14 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3182) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_52_14 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3183) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) ~ (all_52_13 = e0)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3183) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) ~ (all_6_2 = e0)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3185) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) ~ (all_6_2 = e0)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_54_15 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2572), (3187) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) ~ (all_54_15 = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3190) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_56_12 = e3 & op(e0, e3) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3191) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_56_12 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_54_15 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3193) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_6_2 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (3194) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) ~ (all_52_3 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (3194) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) ~ (all_52_7 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (3194) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) ~ (all_52_12 = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3194) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) op(e0, e0) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_54_12 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2951), (3199) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #808.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3201) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_56_0 = e2 & op(e3, e3) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3202) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) op(e3, e3) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2570), (3203), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_56_2 = e2 & op(e2, e3) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3204) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_56_2 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3200) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_54_12 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3195), (3206) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #807.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_54_12 = e3 | all_54_12 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3208) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_56_2 = e3 & op(e2, e3) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3209) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_56_2 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3205), (3210) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) e3 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3192), (3211) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_56_12 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (209),
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170), (3198), (3212), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #862.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_56_3 = e3 & op(e2, e2) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3213) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) op(e2, e2) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3137), (3214), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3215) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_56_5 = e3 & op(e2, e1) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3216) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) all_56_5 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) op(e2, e1) = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3219) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_56_4 = e2 & op(e3, e1) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3220) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) op(e3, e1) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3207) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_54_12 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3222) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_52_3 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3223) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_52_3 = e3
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3224) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) ~ (all_52_7 = e3)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3225) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) ~ (all_52_7 = e3)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_54_13 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (3227) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_52_7 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3228) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_52_7 = e1
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3229) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) ~ (all_52_11 = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3230) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) ~ (all_52_11 = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3196), (3229) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) ~ (e2 = e1)
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (165), (218), (2936), (3218),
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221), (3231), (function-axioms) are inconsistent
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #680.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3133), (3196), (3226), (3233) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_54_12 = e0
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2565), (3234) are inconsistent by
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_56_5 = e2 & op(e2, e1) = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3235) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_56_5 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3217), (3236) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) e3 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3237) implies:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) e3 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3192), (3238) imply:
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) all_56_12 = e2
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (209),
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170), (3198), (3239), (function-axioms) are
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #862.
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_56_8 = e2 & op(e1, e1) = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3241) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_56_8 = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) op(e1, e1) = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (2957), (3166), (3244) are inconsistent
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #678.
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214),
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933), (3166), (3242), (3243), (function-axioms)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #755.
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_56_14 = e2 & op(e0, e1) = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3245) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_56_14 = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (3170),
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171), (3198), (3246), (function-axioms) are
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #850.
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_56_10 = e3 & op(e2, e0) = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3247) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_56_10 = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) op(e2, e0) = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3250) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_56_9 = e1 & op(e3, e0) = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3251) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_56_9 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3207) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) all_54_12 = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3253) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) all_52_3 = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3254) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_52_3 = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3255) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) ~ (all_52_1 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3255) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) ~ (all_52_7 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3257) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) ~ (all_52_7 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_54_13 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (3259) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_52_7 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3260) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_52_7 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3261) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) ~ (all_52_4 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3261) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) ~ (all_52_11 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3263) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) ~ (all_52_11 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_54_1 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3265) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_52_4 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3262), (3266) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) $false
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3267) is inconsistent.
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_54_4 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3269) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_52_1 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2950), (3270) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) $false
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3271) is inconsistent.
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3272) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_54_4 = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3273) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_52_1 = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3274) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) ~ (all_52_9 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3275) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) ~ (all_52_9 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3274) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_52_13 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3277) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) ~ (all_52_13 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (3274) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) op(e2, e3) = e2
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_54_6 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3280) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_52_9 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3281) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_52_9 = e1
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3282) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) ~ (all_52_8 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3282) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) ~ (all_52_13 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3284) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) ~ (all_52_13 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3276), (3282) imply:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) ~ (e2 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3287) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3288) gives:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3289) implies:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) op(e2, e2) = e3
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3137), (3290), (function-axioms) are
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3291) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) = e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_2 = e0 & op(e0,
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3292) implies:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_57_14 = e3
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_57_1 = e1
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_54_7 = e1
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3285), (3295) are inconsistent by
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3268) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_54_1 = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3297) imply:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_52_4 = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3150), (3298) imply:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) $false
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3299) is inconsistent.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) ~ (all_54_1 = e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_54_1 = e3 | all_54_1 = e0
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3302) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3303) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3304) implies:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) op(e2, e3) = e3
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_54_7 = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3278), (3306) are inconsistent by
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) ~ (all_54_7 = e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_54_7 = e3 | all_54_7 = e0
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_54_7 = e3
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3309) imply:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_52_13 = e3
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3310) implies:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) all_52_13 = e3
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3311) imply:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) ~ (all_52_12 = e3)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_54_3 = e1
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3313) imply:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_52_12 = e1
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3279), (3305) gives:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) e3 = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3192), (3315) imply:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_56_12 = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (209),
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170), (3198), (3316), (function-axioms) are
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #862.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2568), (3197), (3312), (3317) are
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_54_7 = e0
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3184), (3318) are inconsistent by
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (170), (249), (2565), (3150),
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207), (3319), (function-axioms) are inconsistent
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #676.
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3321) implies:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) op(e3, e1) = e1
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3283), (3322), (function-axioms) are
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3323) gives:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3324) implies:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) op(e3, e0) = e3
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (272), (2566), (3301), (3325),
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #675.
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3326) implies:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) op(e0, e3) = e0
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2565), (3327), (function-axioms) are
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3328) gives:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3329) gives:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3330) implies:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) op(e2, e1) = e2
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3276), (3331), (function-axioms) are
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3332) gives:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3333) implies:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) op(e1, e2) = e1
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2952), (3334), (function-axioms) are
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3335) implies:
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) op(e2, e0) = e2
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3249), (3336), (function-axioms) are
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3337) gives:
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3338) implies:
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) op(e0, e2) = e0
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3133), (3339), (function-axioms) are
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.60/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3340) gives:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3341) implies:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) op(e0, e1) = e1
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3264), (3342), (function-axioms) are
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3343) implies:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) op(e1, e1) = all_57_14
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) ~ (all_57_14 = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & $i(all_57_1))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2936), (3294), (3344), (3345), (function-axioms)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #673.
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3346) implies:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3171), (3198), (3347), (function-axioms) are
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #894.
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3349) implies:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) op(e1, e2) = e1
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2952), (3350), (function-axioms) are
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3351) gives:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3352) implies:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) op(e3, e3) = e1
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (2567), (3252), (3353), (function-axioms)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #670.
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3354) implies:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) op(e2, e2) = e1
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3137), (3355), (function-axioms) are
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3356) gives:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3357) gives:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3358) implies:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) (all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3137), (3249), (3359), (function-axioms) are
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1204.
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3360) gives:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3361) implies:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) op(e3, e3) = e3
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (73),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (94), (106), (110), (112), (113), (117),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (126), (128),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (135), (136), (139), (141), (143),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (162), (163),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (189),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (193), (195), (198), (199), (201), (202),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (206), (207), (208), (209), (210), (211),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (217), (218), (219),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (228),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (236),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (247), (250), (258), (261),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (270), (271), (272), (291), (314), (329),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (349), (350), (352), (356), (358), (367),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (369), (370), (373), (375), (2572), (2919),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920), (2921), (2922), (2935), (2936), (3248),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249), (3362), (function-axioms) are inconsistent
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1100.
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3363) implies:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) op(e2, e0) = e2
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3249), (3364), (function-axioms) are
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3366) implies:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) op(e2, e2) = e2
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (3166), (3171), (3179),
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367), (function-axioms) are inconsistent by
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #797.
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3368) gives:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.79/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3369) implies:
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) op(e1, e1) = e1
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2936), (3370), (function-axioms) are
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.79/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (159), (164), (2565), (3133), (3137),
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198), (3278), (3371), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #697.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (2923), (3134), (3276), (3372) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_54_4 = e3 | all_54_4 = e0
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2563), (3256), (3373) are inconsistent by
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1314.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3133), (3196), (3258), (3374) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_54_12 = e0
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (2565), (3375) are inconsistent by
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_56_10 = e1 & op(e2, e0) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3248), (3376) are inconsistent by sub-proof
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1284.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3377) gives:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_56_11 = e1 & op(e1, e0) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3378) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) op(e1, e0) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2953), (3379), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_56_15 = e1 & op(e0, e0) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3380) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) op(e0, e0) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3198), (3381), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3382) gives:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_56_6 = e2 & op(e1, e3) = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3383) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) op(e1, e3) = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2958), (3384), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_56_12 = e2 & op(e0, e3) = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3385) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_56_12 = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (209),
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170), (3198), (3386), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #862.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_54_15 = e3 | all_54_15 = e0
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (3186), (3387) are inconsistent by
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_56_13 = e3 & op(e0, e2) = e3
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3388) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_56_13 = e3
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3170), (3389) are inconsistent by sub-proof
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1148.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (246), (372), (2924), (3186), (3189),
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390), (function-axioms) are inconsistent by
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_56_3 = e3 & op(e2, e2) = e3
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3391) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) op(e2, e2) = e3
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3137), (3392), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (2921), (3170), (3393),
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #796.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3394) gives:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_56_14 = e1 & op(e0, e1) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3395) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_56_14 = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3161), (3396) are inconsistent by sub-proof
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1214.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_56_15 = e1 & op(e0, e0) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (2572), (3397), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3398) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3398) gives:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_56_8 = e2 & op(e1, e1) = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3399) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) op(e1, e1) = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2936), (3400), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_56_11 = e2 & op(e1, e0) = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3401) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_56_11 = e2
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3143), (3402) are inconsistent by sub-proof
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #1102.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | (3403) all_54_9 = e3 | all_54_9 = e0
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2921), (3132), (3403) are inconsistent by
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1140.
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | (3404) all_56_7 = e1 & op(e1, e2) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | ALPHA: (3404) implies:
% 162.89/23.85 | | | | | | | | | | | | | | | | | (3405) op(e1, e2) = e1
% 162.89/23.85 | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2952), (3405), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 162.89/23.85 | | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | (3406) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 162.89/23.85 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 162.89/23.85 | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (2936), (2953), (3406),
% 162.89/23.85 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.85 | | | | | | | | | | | | | | | | #809.
% 162.89/23.85 | | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | (3407) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 162.89/23.85 | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | | REF_CLOSE: (259), (2564), (2920), (2930), (2938), (3407) are
% 162.89/23.85 | | | | | | | | | | | | | | | inconsistent by sub-proof #669.
% 162.89/23.85 | | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | (3408) all_56_11 = e3 & op(e1, e0) = e3
% 162.89/23.85 | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | | REF_CLOSE: (160), (2925), (3408), (function-axioms) are
% 162.89/23.85 | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 162.89/23.85 | | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | (3409) ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 162.89/23.85 | | | | | | | | | | | | $i(all_42_1)
% 162.89/23.85 | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | | REF_CLOSE: (2570), (3409), (function-axioms) are inconsistent
% 162.89/23.85 | | | | | | | | | | | | by sub-proof #668.
% 162.89/23.85 | | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | | |
% 162.89/23.85 | | | | | | | | | End of split
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | Case 2:
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | (3410) all_24_2 = e2
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | COMBINE_EQS: (322), (3410) imply:
% 162.89/23.85 | | | | | | | | | (3411) all_14_2 = e2
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | REDUCE: (348), (3411) imply:
% 162.89/23.85 | | | | | | | | | (3412) ~ (all_52_2 = e2)
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | REDUCE: (361), (3411) imply:
% 162.89/23.85 | | | | | | | | | (3413) ~ (all_52_8 = e2)
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | REDUCE: (362), (3411) imply:
% 162.89/23.85 | | | | | | | | | (3414) ~ (all_52_9 = e2)
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | REDUCE: (51), (3411) imply:
% 162.89/23.85 | | | | | | | | | (3415) op(e1, e1) = e2
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | BETA: splitting (215) gives:
% 162.89/23.85 | | | | | | | | |
% 162.89/23.85 | | | | | | | | | Case 1:
% 162.89/23.85 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | (3416) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 162.89/23.86 | | | | | | | | | | & op(e1, e2) = e2)
% 162.89/23.86 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | BETA: splitting (3416) gives:
% 162.89/23.86 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | (3417) all_56_6 = e2 & op(e1, e3) = e2
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | REF_CLOSE: (163), (3412), (3417), (function-axioms) are
% 162.89/23.86 | | | | | | | | | | | inconsistent by sub-proof #1095.
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | (3418) all_56_7 = e2 & op(e1, e2) = e2
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | ALPHA: (3418) implies:
% 162.89/23.86 | | | | | | | | | | | (3419) all_56_7 = e2
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (213),
% 162.89/23.86 | | | | | | | | | | | (214), (216), (217), (218), (219), (220), (2567),
% 162.89/23.86 | | | | | | | | | | | (3413), (3414), (3415), (3419), (function-axioms)
% 162.89/23.86 | | | | | | | | | | | are inconsistent by sub-proof #662.
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | End of split
% 162.89/23.86 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | (3420) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 162.89/23.86 | | | | | | | | | | e2 & op(e1, e0) = e2)
% 162.89/23.86 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | BETA: splitting (3420) gives:
% 162.89/23.86 | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | (3421) all_56_8 = e2 & op(e1, e1) = e2
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | ALPHA: (3421) implies:
% 162.89/23.86 | | | | | | | | | | | (3422) all_56_8 = e2
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | BETA: splitting (73) gives:
% 162.89/23.86 | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | (3423) ~ (all_28_2 = e0)
% 162.89/23.86 | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | REDUCE: (314), (3423) imply:
% 162.89/23.86 | | | | | | | | | | | | (3424) ~ (all_10_2 = e0)
% 162.89/23.86 | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | BETA: splitting (199) gives:
% 162.89/23.86 | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | (3425) all_54_5 = e1
% 162.89/23.86 | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | REF_CLOSE: (268), (373), (3425) are inconsistent by sub-proof
% 162.89/23.86 | | | | | | | | | | | | | #1418.
% 162.89/23.86 | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | (3426) ~ (all_54_5 = e1)
% 162.89/23.86 | | | | | | | | | | | | | (3427) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 162.89/23.86 | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | BETA: splitting (3427) gives:
% 162.89/23.86 | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | (3428) all_54_5 = e2
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | COMBINE_EQS: (268), (3428) imply:
% 162.89/23.86 | | | | | | | | | | | | | | (3429) all_10_2 = e2
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | SIMP: (3429) implies:
% 162.89/23.86 | | | | | | | | | | | | | | (3430) all_10_2 = e2
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | REDUCE: (347), (3430) imply:
% 162.89/23.86 | | | | | | | | | | | | | | (3431) ~ (all_52_1 = e2)
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | REDUCE: (350), (3430) imply:
% 162.89/23.86 | | | | | | | | | | | | | | (3432) ~ (all_52_4 = e2)
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | REDUCE: (375), (3430) imply:
% 162.89/23.86 | | | | | | | | | | | | | | (3433) ~ (e3 = e2)
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 162.89/23.86 | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | (3434) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 162.89/23.86 | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (2570), (3431), (3434),
% 162.89/23.86 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.86 | | | | | | | | | | | | | | | #694.
% 162.89/23.86 | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | (3435) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 162.89/23.86 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 162.89/23.86 | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | BETA: splitting (3435) gives:
% 162.89/23.86 | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | (3436) all_56_6 = e2 & op(e1, e3) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3412), (3436), (function-axioms) are
% 162.89/23.86 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | (3437) all_56_12 = e2 & op(e0, e3) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | ALPHA: (3437) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | (3438) all_56_12 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | (3439) op(e0, e3) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | (3440) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (2570), (3432), (3440),
% 162.89/23.86 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.86 | | | | | | | | | | | | | | | | | #661.
% 162.89/23.86 | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | (3441) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | (3442) all_56_4 = e2 & op(e3, e1) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3413), (3442), (function-axioms) are
% 162.89/23.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | (3443) all_56_9 = e2 & op(e3, e0) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | ALPHA: (3443) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | (3444) op(e3, e0) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | (3445) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (3445) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3446) all_56_1 = e2 & op(e3, e2) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | ALPHA: (3446) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3447) op(e3, e2) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3432), (3447), (function-axioms) are
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3448) all_56_3 = e2 & op(e2, e2) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | ALPHA: (3448) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3449) op(e2, e2) = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3439) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3450) all_52_3 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (3444) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3451) all_52_12 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (3451) imply:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3452) ~ (all_6_2 = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | SIMP: (3452) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | (3453) ~ (all_6_2 = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | (3454) all_54_15 = e1
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2572), (3454) are inconsistent by
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | (3455) ~ (all_54_15 = e1)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | (3456) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3456) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | (3457) all_54_15 = e2
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3453), (3457) are inconsistent by
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | (3458) ~ (all_54_15 = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | (3459) all_54_15 = e3 | all_54_15 = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3459) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3460) all_54_15 = e3
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (3460) are inconsistent by sub-proof
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3461) all_54_15 = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3461) imply:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3462) all_6_2 = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3462) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3463) all_6_2 = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (3463) imply:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3464) ~ (all_52_7 = e0)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (3463) imply:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3465) ~ (all_52_11 = e0)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (3463) imply:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3466) ~ (e3 = e0)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2572), (3463) imply:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | (3467) ~ (e1 = e0)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | (3468) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (2566), (3449), (3468),
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | #660.
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | (3469) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3469) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_56_7 = e0 & op(e1, e2) = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3470) implies:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (3471) op(e1, e2) = e0
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3472) gives:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3473) gives:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3474) implies:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) op(e2, e3) = e2
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3431), (3475), (function-axioms) are
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3476) gives:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) = e2)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3477) implies:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) op(e1, e1) = e3
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3415), (3478), (function-axioms) are
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3479) implies:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3415), (3471), (3480), (function-axioms) are
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3482) implies:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) op(e1, e2) = e1
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3471), (3483), (function-axioms) are
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3484) gives:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3485) implies:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) op(e3, e3) = e1
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2570), (3486), (function-axioms) are
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3487) implies:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) op(e2, e2) = e1
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3449), (3488), (function-axioms) are
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3489) gives:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (2570), (3444), (3449), (3490),
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | #656.
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3491) gives:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3492) implies:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3415), (3471), (3493), (function-axioms) are
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3494) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3495) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) op(e1, e1) = e1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3415), (3496), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #667.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3497) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (157), (158), (159), (2565), (2570),
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415), (3444), (3464), (3465), (3498),
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #652.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_56_13 = e0 & op(e0, e2) = e0
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3499) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | (3500) op(e0, e2) = e0
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3464), (3500), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | (3501) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (3501) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | (3502) all_56_7 = e2 & op(e1, e2) = e2
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (3502) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | (3503) all_56_7 = e2
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | (3415), (3422), (3503), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #666.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | (3504) all_56_13 = e2 & op(e0, e2) = e2
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (3504) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | (3505) all_56_13 = e2
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | (3506) op(e0, e2) = e2
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | (3507) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | (3508) all_56_12 = e1 & op(e0, e3) = e1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3438), (3508) are inconsistent by sub-proof
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | #651.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | (3509) all_56_13 = e1 & op(e0, e2) = e1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3505), (3509) are inconsistent by sub-proof
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | #1128.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | (3510) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3510) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | (3511) all_56_14 = e1 & op(e0, e1) = e1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3511) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | (3512) all_56_14 = e1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | (3513) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3513) gives:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_56_12 = e3 & op(e0, e3) = e3
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3514) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_56_12 = e3
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3438), (3515) are inconsistent by sub-proof
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_56_13 = e3 & op(e0, e2) = e3
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3516) implies:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | (3517) op(e0, e2) = e3
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3506), (3517), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | (3518) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (372), (3512), (3518),
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | | #650.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | (3519) all_56_15 = e1 & op(e0, e0) = e1
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (2572), (3519), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | (3520) all_54_5 = e3 | all_54_5 = e0
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (3424), (3520) are inconsistent by
% 162.89/23.89 | | | | | | | | | | | | | | sub-proof #1400.
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | (3521) all_28_2 = e0
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | COMBINE_EQS: (314), (3521) imply:
% 162.89/23.89 | | | | | | | | | | | | (3522) all_10_2 = e0
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | SIMP: (3522) implies:
% 162.89/23.89 | | | | | | | | | | | | (3523) all_10_2 = e0
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | REDUCE: (352), (3523) imply:
% 162.89/23.89 | | | | | | | | | | | | (3524) ~ (all_52_6 = e0)
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | REDUCE: (356), (3523) imply:
% 162.89/23.89 | | | | | | | | | | | | (3525) ~ (all_52_9 = e0)
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | REDUCE: (375), (3523) imply:
% 162.89/23.89 | | | | | | | | | | | | (3526) ~ (e3 = e0)
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | REDUCE: (373), (3523) imply:
% 162.89/23.89 | | | | | | | | | | | | (3527) ~ (e1 = e0)
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | REDUCE: (45), (3523) imply:
% 162.89/23.89 | | | | | | | | | | | | (3528) op(e2, e2) = e0
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | BETA: splitting (213) gives:
% 162.89/23.89 | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | (3529) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 162.89/23.89 | | | | | | | | | | | | | & op(e1, e2) = e0)
% 162.89/23.89 | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | BETA: splitting (3529) gives:
% 162.89/23.89 | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | Case 1:
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | (3530) all_56_6 = e0 & op(e1, e3) = e0
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | REF_CLOSE: (163), (2564), (3530), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | (3531) all_56_7 = e0 & op(e1, e2) = e0
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | | REF_CLOSE: (162), (3524), (3531), (function-axioms) are
% 162.89/23.89 | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 162.89/23.89 | | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | | End of split
% 162.89/23.89 | | | | | | | | | | | | |
% 162.89/23.89 | | | | | | | | | | | | Case 2:
% 162.89/23.89 | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | (3532) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 162.89/23.90 | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 162.89/23.90 | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | BETA: splitting (3532) gives:
% 162.89/23.90 | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | (3533) all_56_8 = e0 & op(e1, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | ALPHA: (3533) implies:
% 162.89/23.90 | | | | | | | | | | | | | | (3534) op(e1, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | REF_CLOSE: (5), (3415), (3534), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | (3535) all_56_11 = e0 & op(e1, e0) = e0
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | ALPHA: (3535) implies:
% 162.89/23.90 | | | | | | | | | | | | | | (3536) op(e1, e0) = e0
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 162.89/23.90 | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | (3537) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 162.89/23.90 | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | BETA: splitting (3537) gives:
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | (3538) all_56_4 = e0 & op(e3, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2567), (3538), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | (3539) all_56_5 = e0 & op(e2, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3525), (3539), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | End of split
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | (3540) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 162.89/23.90 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | BETA: splitting (3540) gives:
% 162.89/23.90 | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | (3541) all_56_8 = e0 & op(e1, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | ALPHA: (3541) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3542) op(e1, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3415), (3542), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | (3543) all_56_14 = e0 & op(e0, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | ALPHA: (3543) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3544) all_56_14 = e0
% 162.89/23.90 | | | | | | | | | | | | | | | | (3545) op(e0, e1) = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 162.89/23.90 | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (3545) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3546) all_52_11 = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 162.89/23.90 | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (3536) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3547) all_52_14 = e0
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | REDUCE: (125), (3546) imply:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3548) ~ (all_52_7 = e0)
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | REDUCE: (370), (3547) imply:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3549) ~ (all_6_2 = e0)
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | SIMP: (3549) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | (3550) ~ (all_6_2 = e0)
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | (3551) all_54_15 = e1
% 162.89/23.90 | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2572), (3551) are inconsistent by
% 162.89/23.90 | | | | | | | | | | | | | | | | | sub-proof #1396.
% 162.89/23.90 | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | (3552) ~ (all_54_15 = e1)
% 162.89/23.90 | | | | | | | | | | | | | | | | | (3553) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 162.89/23.90 | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | BETA: splitting (3553) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | (3554) all_54_15 = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3554) imply:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | (3555) all_6_2 = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | SIMP: (3555) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | (3556) all_6_2 = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | REDUCE: (369), (3556) imply:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | (3557) ~ (all_52_13 = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | REDUCE: (372), (3556) imply:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | (3558) ~ (e3 = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | REDUCE: (39), (3556) imply:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | (3559) op(e0, e0) = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | (3560) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (3560) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | (3561) all_56_0 = e2 & op(e3, e3) = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (3561) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | (3562) op(e3, e3) = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2570), (3562), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | (3563) all_56_2 = e2 & op(e2, e3) = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (3563) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | (3564) op(e2, e3) = e2
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | (3565) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3565) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | (3566) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3566) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | (3567) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3567) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | (3568) op(e2, e2) = e3
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3528), (3568), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | (3569) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3569) gives:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) = e2)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3570) implies:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (3571) op(e1, e1) = e3
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3415), (3571), (function-axioms) are
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1)
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.90 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3572) implies:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | (3573) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3548), (3559), (3573), (function-axioms)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #704.
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | (3574) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (3575) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (3576) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3548), (3559), (3576), (function-axioms)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #704.
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (3577) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2570), (3528), (3577), (function-axioms) are
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #703.
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (3578) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | (3579) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3579) gives:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (3580) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3580) implies:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (3581) (all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3528), (3557), (3581), (function-axioms)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #771.
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (3582) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3582) gives:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3583) implies:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3584) op(e3, e3) = e3
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2570), (3584), (function-axioms) are
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3585) implies:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3586) op(e2, e0) = e2
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (3564), (3586),
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (3587) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (3588) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3588) implies:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (3589) op(e2, e2) = e2
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3528), (3589), (function-axioms) are
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (3590) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3590) gives:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3591) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3591) implies:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3592) op(e1, e1) = e1
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3415), (3592), (function-axioms) are
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #667.
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 162.89/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3593) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3593) implies:
% 163.17/23.92 | | | | | | | | | | | | | | | | | | | | | | | | (3594) op(e0, e0) = all_57_15
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (3595) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3595) gives:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (3596) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (2565), (3548), (3596),
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | #772.
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (3597) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (3528), (3557), (3559), (3594),
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | (3597), (function-axioms) are inconsistent by
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #759.
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | (3598) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (3598) gives:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | (3599) all_56_6 = e2 & op(e1, e3) = e2
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3412), (3599), (function-axioms) are
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | (3600) all_56_12 = e2 & op(e0, e3) = e2
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (3600) implies:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | (3601) all_56_12 = e2
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | (3602) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | (3603) all_56_12 = e1 & op(e0, e3) = e1
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3603) implies:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | (3604) all_56_12 = e1
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3601), (3604) are inconsistent by sub-proof
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | #1234.
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | (3605) all_56_13 = e1 & op(e0, e2) = e1
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3605) implies:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | (3606) all_56_13 = e1
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (209),
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | (3559), (3601), (3606), (function-axioms) are
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #862.
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | (3607) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3544), (3559), (3607),
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | | #1213.
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | (3608) all_54_15 = e3 | all_54_15 = e0
% 163.17/23.93 | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (3550), (3608) are inconsistent by
% 163.17/23.93 | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 163.17/23.93 | | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | (3609) all_56_11 = e2 & op(e1, e0) = e2
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | ALPHA: (3609) implies:
% 163.17/23.93 | | | | | | | | | | | (3610) all_56_11 = e2
% 163.17/23.93 | | | | | | | | | | | (3611) op(e1, e0) = e2
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (165),
% 163.17/23.93 | | | | | | | | | | | (169), (213), (214), (216), (217), (218), (219),
% 163.17/23.93 | | | | | | | | | | | (220), (2564), (2567), (3413), (3414), (3415),
% 163.17/23.93 | | | | | | | | | | | (3610), (3611), (function-axioms) are inconsistent
% 163.17/23.93 | | | | | | | | | | | by sub-proof #645.
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | End of split
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | (3612) all_22_2 = e1
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | COMBINE_EQS: (310), (3612) imply:
% 163.17/23.93 | | | | | | | | (3613) all_6_2 = e1
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | SIMP: (3613) implies:
% 163.17/23.93 | | | | | | | | (3614) all_6_2 = e1
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (349), (3614) imply:
% 163.17/23.93 | | | | | | | | (3615) ~ (all_52_3 = e1)
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (360), (3614) imply:
% 163.17/23.93 | | | | | | | | (3616) ~ (all_52_7 = e1)
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (367), (3614) imply:
% 163.17/23.93 | | | | | | | | (3617) ~ (all_52_11 = e1)
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (368), (3614) imply:
% 163.17/23.93 | | | | | | | | (3618) ~ (all_52_12 = e1)
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (369), (3614) imply:
% 163.17/23.93 | | | | | | | | (3619) ~ (all_52_13 = e1)
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (370), (3614) imply:
% 163.17/23.93 | | | | | | | | (3620) ~ (all_52_14 = e1)
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | REDUCE: (39), (3614) imply:
% 163.17/23.93 | | | | | | | | (3621) op(e0, e0) = e1
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | BETA: splitting (103) gives:
% 163.17/23.93 | | | | | | | |
% 163.17/23.93 | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | | (3622) ~ (all_48_2 = e0)
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | | REDUCE: (2562), (3622) imply:
% 163.17/23.93 | | | | | | | | | (3623) $false
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | | CLOSE: (3623) is inconsistent.
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | | (3624) ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 163.17/23.93 | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0) =
% 163.17/23.93 | | | | | | | | | all_48_1 & $i(all_48_1))
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | | BETA: splitting (3624) gives:
% 163.17/23.93 | | | | | | | | |
% 163.17/23.93 | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | (3625) ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 163.17/23.93 | | | | | | | | | | $i(all_48_0)
% 163.17/23.93 | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | ALPHA: (3625) implies:
% 163.17/23.93 | | | | | | | | | | (3626) ~ (all_48_0 = e2)
% 163.17/23.93 | | | | | | | | | | (3627) op(e3, e0) = all_48_0
% 163.17/23.93 | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | BETA: splitting (210) gives:
% 163.17/23.93 | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | (3628) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 163.17/23.93 | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | BETA: splitting (3628) gives:
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | (3629) all_56_9 = e1 & op(e3, e0) = e1
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REF_CLOSE: (168), (3618), (3629), (function-axioms) are
% 163.17/23.93 | | | | | | | | | | | | inconsistent by sub-proof #910.
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | (3630) all_56_10 = e1 & op(e2, e0) = e1
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REF_CLOSE: (164), (3619), (3630), (function-axioms) are
% 163.17/23.93 | | | | | | | | | | | | inconsistent by sub-proof #708.
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | End of split
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | (3631) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 163.17/23.93 | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | BETA: splitting (3631) gives:
% 163.17/23.93 | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | (3632) all_56_11 = e1 & op(e1, e0) = e1
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | ALPHA: (3632) implies:
% 163.17/23.93 | | | | | | | | | | | | (3633) op(e1, e0) = e1
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REF_CLOSE: (160), (3620), (3633), (function-axioms) are
% 163.17/23.93 | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | (3634) all_56_15 = e1 & op(e0, e0) = e1
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | ALPHA: (3634) implies:
% 163.17/23.93 | | | | | | | | | | | | (3635) all_56_15 = e1
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 163.17/23.93 | | | | | | | | | | | | all_48_0, e0, e3, simplifying with (168), (3627)
% 163.17/23.93 | | | | | | | | | | | | gives:
% 163.17/23.93 | | | | | | | | | | | | (3636) all_52_12 = all_48_0
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | COMBINE_EQS: (270), (3636) imply:
% 163.17/23.93 | | | | | | | | | | | | (3637) all_54_3 = all_48_0
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REDUCE: (133), (3636) imply:
% 163.17/23.93 | | | | | | | | | | | | (3638) ~ (all_52_4 = all_48_0)
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REDUCE: (120), (3636) imply:
% 163.17/23.93 | | | | | | | | | | | | (3639) ~ (all_52_8 = all_48_0)
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REDUCE: (112), (3636) imply:
% 163.17/23.93 | | | | | | | | | | | | (3640) ~ (all_52_14 = all_48_0)
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | SIMP: (3640) implies:
% 163.17/23.93 | | | | | | | | | | | | (3641) ~ (all_52_14 = all_48_0)
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REDUCE: (3618), (3636) imply:
% 163.17/23.93 | | | | | | | | | | | | (3642) ~ (all_48_0 = e1)
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | REDUCE: (2568), (3636) imply:
% 163.17/23.93 | | | | | | | | | | | | (3643) ~ (all_48_0 = e0)
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | BETA: splitting (201) gives:
% 163.17/23.93 | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | (3644) all_54_3 = e1
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | COMBINE_EQS: (3637), (3644) imply:
% 163.17/23.93 | | | | | | | | | | | | | (3645) all_48_0 = e1
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | REDUCE: (3642), (3645) imply:
% 163.17/23.93 | | | | | | | | | | | | | (3646) $false
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | CLOSE: (3646) is inconsistent.
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | Case 2:
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | (3647) ~ (all_54_3 = e1)
% 163.17/23.93 | | | | | | | | | | | | | (3648) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | BETA: splitting (3648) gives:
% 163.17/23.93 | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | Case 1:
% 163.17/23.93 | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | (3649) all_54_3 = e2
% 163.17/23.93 | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | COMBINE_EQS: (3637), (3649) imply:
% 163.17/23.93 | | | | | | | | | | | | | | (3650) all_48_0 = e2
% 163.17/23.93 | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | REDUCE: (3626), (3650) imply:
% 163.17/23.93 | | | | | | | | | | | | | | (3651) $false
% 163.17/23.93 | | | | | | | | | | | | | |
% 163.17/23.93 | | | | | | | | | | | | | | CLOSE: (3651) is inconsistent.
% 163.17/23.94 | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | (3652) ~ (all_54_3 = e2)
% 163.17/23.94 | | | | | | | | | | | | | | (3653) all_54_3 = e3 | all_54_3 = e0
% 163.17/23.94 | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | BETA: splitting (3653) gives:
% 163.17/23.94 | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | (3654) all_54_3 = e3
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | COMBINE_EQS: (3637), (3654) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | (3655) all_48_0 = e3
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | REDUCE: (3638), (3655) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | (3656) ~ (all_52_4 = e3)
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | REDUCE: (3639), (3655) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | (3657) ~ (all_52_8 = e3)
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | REDUCE: (3641), (3655) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | (3658) ~ (all_52_14 = e3)
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | REDUCE: (3627), (3655) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | (3659) op(e3, e0) = e3
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 163.17/23.94 | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | (3660) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 163.17/23.94 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.17/23.94 | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | BETA: splitting (3660) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | (3661) all_56_9 = e3 & op(e3, e0) = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | ALPHA: (3661) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | (3662) all_56_9 = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | (3663) ~ (all_24_2 = e2)
% 163.17/23.94 | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | REDUCE: (322), (3663) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | (3664) ~ (all_14_2 = e2)
% 163.17/23.94 | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | (3665) ~ (all_26_2 = e3)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | REDUCE: (303), (3665) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | (3666) ~ (all_14_2 = e3)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3667) all_54_10 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (3667) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3668) all_14_2 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | SIMP: (3668) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3669) all_14_2 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (3669) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3670) ~ (all_52_2 = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (3669) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3671) ~ (all_52_6 = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (3669) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3672) ~ (all_52_8 = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (3669) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3673) ~ (all_52_9 = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (3666), (3669) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3674) ~ (e3 = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (3669) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | (3675) op(e1, e1) = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | (3676) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | (3677) all_56_1 = e1 & op(e3, e2) = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3677) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | (3678) all_56_1 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | (3679) all_54_2 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3679) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | (3680) all_52_8 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3672), (3680) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | (3681) $false
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3681) is inconsistent.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | (3682) ~ (all_54_2 = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | (3683) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3683) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_54_2 = e2
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3684) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_52_8 = e2
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3657), (3685) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | (3686) ~ (e3 = e2)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (3685) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | (3687) op(e3, e1) = e2
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | (3688) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3688) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_56_0 = e1 & op(e3, e3) = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3689) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) op(e3, e3) = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (2567), (3678), (3690), (function-axioms)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_56_2 = e1 & op(e2, e3) = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3691) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) op(e2, e3) = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (375), (3692), (3693),
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | #952.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3694) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_56_5 = e3 & op(e2, e1) = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3695) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_56_5 = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) op(e2, e1) = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3698) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_56_4 = e0 & op(e3, e1) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2567), (3699), (function-axioms) are
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_56_5 = e0 & op(e2, e1) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3696), (3700) are inconsistent by sub-proof
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1292.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_56_8 = e0 & op(e1, e1) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3702) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) op(e1, e1) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3675), (3703), (function-axioms) are
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_56_14 = e0 & op(e0, e1) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3704) implies:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) op(e0, e1) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (3705) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_52_11 = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3697) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_52_9 = e3
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (3692) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_52_1 = e1
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3706) imply:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) ~ (all_52_7 = e0)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3675), (3692), (3711),
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #643.
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (2565), (3621), (3687), (3705),
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712), (function-axioms) are inconsistent by
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3714) gives:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3715) implies:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) ~ (all_57_14 = e1)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) op(e1, e1) = all_57_14
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3675), (3716), (3717), (function-axioms) are
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3718) gives:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3719) implies:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) op(e2, e1) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (3697), (3720), (function-axioms) are
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3721) implies:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) op(e0, e0) = all_57_15
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) ~ (all_57_15 = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3621), (3705), (3722), (3723), (function-axioms)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #642.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (3617), (3675), (3709), (3724),
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #700.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_56_10 = e3 & op(e2, e0) = e3
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3725) implies:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_56_10 = e3
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) op(e2, e0) = e3
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (211), (3621),
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626), (3627), (3659), (3726), (3727),
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #638.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3728) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (3615), (3670), (3728),
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | | #957.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_54_2 = e3 | all_54_2 = e0
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (2567), (3657), (3729) are inconsistent by
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | (3730) all_56_3 = e1 & op(e2, e2) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3730) implies:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | (3731) op(e2, e2) = e1
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (3731), (function-axioms) are
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.95 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | (3732) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (3616), (3671), (3732),
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | #706.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | (3733) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (376), (3664), (3666), (3733) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3734) all_26_2 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (3734) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3735) all_14_2 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | SIMP: (3735) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3736) all_14_2 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (3736) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3737) all_42_2 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (3736) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3738) ~ (all_52_2 = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | REDUCE: (359), (3736) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3739) ~ (all_52_6 = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (3736) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3740) ~ (all_52_9 = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | REDUCE: (364), (3736) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3741) ~ (all_52_11 = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (3736) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | (3742) op(e1, e1) = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | (3743) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (375), (3656), (3743),
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | #717.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | (3744) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3744) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | (3745) all_56_7 = e3 & op(e1, e2) = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3739), (3745), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | (3746) all_56_13 = e3 & op(e0, e2) = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3746) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | (3747) all_56_13 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | (3748) op(e0, e2) = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | (3749) ~ (all_42_2 = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3737), (3749) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | (3750) $false
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3750) is inconsistent.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | (3751) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3751) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | (3752) ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3752) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | (3753) ~ (all_42_0 = e2)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | (3754) op(e1, e3) = all_42_0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_56_15 = e0 & op(e0, e0) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3755) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | (3756) op(e0, e0) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3621), (3756), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | (3757) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3757) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | (3758) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | (3759) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3758) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_56_12 = e0 & op(e0, e3) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3760) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3761) op(e0, e3) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2565), (3761), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3762) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3762) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_56_13 = e0 & op(e0, e2) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3763) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) op(e0, e2) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3748), (3764), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_56_14 = e0 & op(e0, e1) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3765) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_56_14 = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) op(e0, e1) = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3768) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_56_12 = e2 & op(e0, e3) = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3769) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_56_12 = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) op(e0, e3) = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3772) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_56_2 = e3 & op(e2, e3) = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3773) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) op(e2, e3) = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3775) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_56_0 = e1 & op(e3, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3776) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) op(e3, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2570), (3777), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_56_2 = e1 & op(e2, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3778) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) op(e2, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3774), (3779), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #989.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3780) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_56_6 = e1 & op(e1, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3781) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) op(e1, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3783) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_56_2 = e1 & op(e2, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3784) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) op(e2, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3774), (3785), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #989.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_56_3 = e1 & op(e2, e2) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3786) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) op(e2, e2) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (3787), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3788) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_56_5 = e1 & op(e2, e1) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3789) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_56_5 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) op(e2, e1) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3792) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_56_4 = e2 & op(e3, e1) = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_56_4 = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) op(e3, e1) = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3796) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_56_0 = e1 & op(e3, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3797) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) op(e3, e3) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2570), (3798), (function-axioms) are
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_56_1 = e1 & op(e3, e2) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3799) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) op(e3, e2) = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (3767) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_52_11 = e0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (3748) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_52_7 = e3
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3771) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_52_3 = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (3782) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_52_2 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e3, e1, simplifying with (163), (3754)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_52_2 = all_42_0
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3791) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_52_9 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (3795) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_52_8 = e2
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (3800) gives:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_52_4 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3804), (3805) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_42_0 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3809) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_42_0 = e1
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3808) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) ~ (all_52_6 = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3811) implies:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) ~ (all_52_6 = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3657), (3807) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) ~ (e3 = e2)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3740), (3806) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) ~ (e3 = e1)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3741), (3801) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) ~ (e3 = e0)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3617), (3801) imply:
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) ~ (e1 = e0)
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3753), (3810) imply:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) ~ (e2 = e1)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3818) gives:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3819) gives:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) op(e3, e2) = e3
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3800), (3821), (function-axioms) are
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1186.
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) op(e3, e2) = e2
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (2570), (3662), (3794),
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824), (function-axioms) are inconsistent by
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #701.
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3825) implies:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) op(e1, e3) = e3
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3738), (3826), (function-axioms) are
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3827) gives:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3828) implies:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) op(e3, e1) = e1
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3795), (3829), (function-axioms) are
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (2565), (3771), (3830),
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3831) gives:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (3742), (3748), (3782), (3812),
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832), (function-axioms) are inconsistent by
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #634.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3833) gives:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3834) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) op(e0, e2) = e0
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3748), (3835), (function-axioms) are
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3836) gives:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3837) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) op(e0, e1) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3617), (3838), (function-axioms) are
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3839) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) op(e1, e1) = all_57_14
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) ~ (all_57_14 = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & $i(all_57_1))
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3742), (3782), (3840), (3841), (function-axioms)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #635.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3842) gives:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) all_56_4 = e1 & op(e3, e1) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3843) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) op(e3, e1) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3795), (3844), (function-axioms) are
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_56_9 = e1 & op(e3, e0) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3618), (3845), (function-axioms) are
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_56_5 = e2 & op(e2, e1) = e2
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3846) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_56_5 = e2
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3790), (3847) imply:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) e2 = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3848) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) e2 = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3770), (3849) imply:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_56_12 = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (3635), (3747), (3766),
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) are inconsistent by sub-proof #1215.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (159), (2565), (3742), (3748),
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758), (3851), (function-axioms) are inconsistent
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #632.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_56_10 = e1 & op(e2, e0) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3619), (3852), (function-axioms) are
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_56_12 = e1 & op(e0, e3) = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3853) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_56_12 = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (3635), (3747), (3766),
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) are inconsistent by sub-proof #1215.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_56_3 = e3 & op(e2, e2) = e3
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3855) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) op(e2, e2) = e3
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (375), (3856), (function-axioms) are
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1281.
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3857) gives:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_56_5 = e3 & op(e2, e1) = e3
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3858) implies:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_56_5 = e3
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) op(e2, e1) = e3
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3861) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_56_4 = e1 & op(e3, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3862) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) op(e3, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3864) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_56_4 = e2 & op(e3, e1) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3865) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) op(e3, e1) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3863), (3866), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_56_5 = e2 & op(e2, e1) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3859), (3867) are inconsistent by sub-proof
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1356.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (159), (2565), (3742), (3748),
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758), (3868), (function-axioms) are inconsistent
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #632.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_56_5 = e1 & op(e2, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3869) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) op(e2, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (3860), (3870), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3871) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_56_8 = e1 & op(e1, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3872) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) op(e1, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3742), (3873), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_56_14 = e1 & op(e0, e1) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3874) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) all_56_14 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (3748), (3758), (3770), (3875),
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #685.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) all_56_10 = e3 & op(e2, e0) = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3876) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_56_10 = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) op(e2, e0) = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (211), (3621), (3626), (3627),
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659), (3759), (3877), (3878), (function-axioms)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #639.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_56_13 = e2 & op(e0, e2) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3879) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) op(e0, e2) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3748), (3880), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3881) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_56_14 = e2 & op(e0, e1) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (159), (2565), (3748), (3758), (3882),
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_56_15 = e2 & op(e0, e0) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3883) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) op(e0, e0) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3621), (3884), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | (3885) ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2570), (3885), (function-axioms) are inconsistent
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #668.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | End of split
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | (3886) all_24_2 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (3886) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | (3887) all_14_2 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | REDUCE: (348), (3887) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | (3888) ~ (all_52_2 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | REDUCE: (361), (3887) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | (3889) ~ (all_52_8 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | REDUCE: (362), (3887) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | (3890) ~ (all_52_9 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | REDUCE: (51), (3887) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | (3891) op(e1, e1) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3892) all_54_2 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3892) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3893) all_52_8 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3893) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3894) ~ (all_52_4 = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3893) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3895) ~ (all_52_9 = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | SIMP: (3895) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3896) ~ (all_52_9 = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3893) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3897) ~ (all_52_11 = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | REDUCE: (3657), (3893) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3898) ~ (e3 = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | REDUCE: (3889), (3893) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | (3899) ~ (e2 = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | (3900) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3900) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | (3901) all_56_9 = e2 & op(e3, e0) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3901) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | (3902) op(e3, e0) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3626), (3627), (3902), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | (3903) all_56_10 = e2 & op(e2, e0) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3903) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | (3904) op(e2, e0) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | (3905) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (373), (3894), (3905),
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | #729.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | (3906) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | (3907) all_56_7 = e1 & op(e1, e2) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3907) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | (3908) op(e1, e2) = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | (3909) all_54_1 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3909) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | (3910) all_52_4 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3894), (3910) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | (3911) $false
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3911) is inconsistent.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | (3912) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_54_1 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3913) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3914) all_52_4 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3914) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3915) all_52_4 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3915) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3916) ~ (all_52_7 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3916) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3917) ~ (all_52_7 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3915) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3918) ~ (all_10_2 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3918) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | (3919) ~ (all_10_2 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) all_54_5 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3920) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_10_2 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3921) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) $false
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3922) is inconsistent.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (145), (164), (167), (2570), (3904), (3924),
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #631.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3925) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) all_56_6 = e2 & op(e1, e3) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3888), (3926), (function-axioms) are
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) all_56_12 = e2 & op(e0, e3) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3927) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) op(e0, e3) = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3923) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_54_5 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3929) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) all_10_2 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3930) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_10_2 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3919), (3931) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) $false
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3932) is inconsistent.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) all_54_5 = e3 | all_54_5 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3933) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) all_54_5 = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (3934) are inconsistent by sub-proof
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #630.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) all_54_5 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3935) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_10_2 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3936) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_10_2 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (3937) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) ~ (all_52_7 = e0)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (3937) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) ~ (all_52_9 = e0)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3937) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) ~ (all_52_13 = e0)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) all_54_6 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (3896), (3941) are inconsistent by
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3942) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_54_6 = e2
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (3890), (3943) are inconsistent by
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #822.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) ~ (all_54_6 = e2)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_54_6 = e3 | all_54_6 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) all_54_7 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3619), (3946) are inconsistent by
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_54_13 = e1
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3616), (3948) are inconsistent by
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1011.
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3945) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) all_54_6 = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3950) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) all_52_9 = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3951) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_52_9 = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3952) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) ~ (all_52_1 = e3)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3952) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) ~ (all_52_13 = e3)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3954) implies:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) ~ (all_52_13 = e3)
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3952) imply:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) op(e2, e1) = e3
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3947) gives:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/23.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) all_54_7 = e2
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3957) imply:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) all_52_13 = e2
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3958) implies:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_52_13 = e2
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3959) imply:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) ~ (all_52_1 = e2)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3955), (3959) imply:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) ~ (e3 = e2)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_54_4 = e1
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3962) imply:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_52_1 = e1
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3963) imply:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) ~ (all_52_2 = e1)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3964) implies:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) ~ (all_52_2 = e1)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (3963) imply:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) op(e2, e3) = e1
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3967) gives:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3969) implies:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) op(e2, e3) = e3
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3966), (3970), (function-axioms) are
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #989.
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3891), (3908), (3960), (3971),
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #629.
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3972) gives:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3973) implies:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) op(e1, e3) = e1
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3965), (3974), (function-axioms) are
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (2565), (3928), (3975),
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3976) gives:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3977) gives:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3978) implies:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) op(e2, e1) = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3890), (3979), (function-axioms) are
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3980) gives:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3981) implies:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) op(e2, e1) = e1
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (3956), (3982), (function-axioms) are
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3983) implies:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) op(e0, e2) = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (248), (3917), (3938), (3949), (3984),
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1003.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3985) gives:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3986) implies:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) op(e0, e2) = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3938), (3987), (function-axioms) are
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3617), (3891), (3908), (3988),
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #628.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2563), (3953), (3960), (3989) are
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) all_54_7 = e3 | all_54_7 = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3940), (3955), (3990) are inconsistent by
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #812.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_54_6 = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (3939), (3991) are inconsistent by
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1160.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_54_1 = e3 | all_54_1 = e0
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (2566), (3656), (3992) are inconsistent by
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | (3993) all_56_13 = e1 & op(e0, e2) = e1
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3616), (3993), (function-axioms) are
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | (3994) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3994) gives:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (3995) all_56_11 = e2 & op(e1, e0) = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3995) implies:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (3996) all_56_11 = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (3997) op(e1, e0) = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (165),
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (169), (213), (214), (216), (217), (218), (219),
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (220), (2564), (2567), (3889), (3890), (3891),
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (3996), (3997), (function-axioms) are inconsistent
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | by sub-proof #645.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (3998) all_56_15 = e2 & op(e0, e0) = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | (3999) op(e0, e0) = e2
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3621), (3999), (function-axioms) are
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.01 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.01 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (4000) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 163.17/24.02 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (2567), (3657), (3889), (4000) are
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 163.17/24.02 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | (4001) all_56_10 = e3 & op(e2, e0) = e3
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | ALPHA: (4001) implies:
% 163.17/24.02 | | | | | | | | | | | | | | | | | (4002) all_56_10 = e3
% 163.17/24.02 | | | | | | | | | | | | | | | | | (4003) op(e2, e0) = e3
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (211), (3621),
% 163.17/24.02 | | | | | | | | | | | | | | | | | (3626), (3627), (3659), (4002), (4003),
% 163.17/24.02 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.02 | | | | | | | | | | | | | | | | | #638.
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | (4004) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 163.17/24.02 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3621), (3658), (4004),
% 163.17/24.02 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.02 | | | | | | | | | | | | | | | | #936.
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | (4005) all_54_3 = e0
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | COMBINE_EQS: (3637), (4005) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | (4006) all_48_0 = e0
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | REDUCE: (3643), (4006) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | (4007) $false
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | CLOSE: (4007) is inconsistent.
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | (4008) ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 163.17/24.02 | | | | | | | | | | $i(all_48_1)
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | ALPHA: (4008) implies:
% 163.17/24.02 | | | | | | | | | | (4009) ~ (all_48_1 = e1)
% 163.17/24.02 | | | | | | | | | | (4010) op(e0, e0) = all_48_1
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | REF_CLOSE: (3621), (4009), (4010), (function-axioms) are
% 163.17/24.02 | | | | | | | | | | inconsistent by sub-proof #626.
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | End of split
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | End of split
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | End of split
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | End of split
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | Case 2:
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | (4011) all_14_2 = e0
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | COMBINE_EQS: (323), (4011) imply:
% 163.17/24.02 | | | | | | (4012) all_16_2 = e0
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | REDUCE: (348), (4011) imply:
% 163.17/24.02 | | | | | | (4013) ~ (all_52_2 = e0)
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | REDUCE: (359), (4011) imply:
% 163.17/24.02 | | | | | | (4014) ~ (all_52_6 = e0)
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | REDUCE: (361), (4011) imply:
% 163.17/24.02 | | | | | | (4015) ~ (all_52_8 = e0)
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | REDUCE: (362), (4011) imply:
% 163.17/24.02 | | | | | | (4016) ~ (all_52_9 = e0)
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | REDUCE: (364), (4011) imply:
% 163.17/24.02 | | | | | | (4017) ~ (all_52_11 = e0)
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | REDUCE: (366), (4011) imply:
% 163.17/24.02 | | | | | | (4018) ~ (all_52_14 = e0)
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | BETA: splitting (213) gives:
% 163.17/24.02 | | | | | |
% 163.17/24.02 | | | | | | Case 1:
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | | (4019) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 163.17/24.02 | | | | | | | op(e1, e2) = e0)
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | | BETA: splitting (4019) gives:
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | (4020) all_56_6 = e0 & op(e1, e3) = e0
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | REF_CLOSE: (163), (4013), (4020), (function-axioms) are
% 163.17/24.02 | | | | | | | | inconsistent by sub-proof #1126.
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | (4021) all_56_7 = e0 & op(e1, e2) = e0
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | REF_CLOSE: (162), (4014), (4021), (function-axioms) are
% 163.17/24.02 | | | | | | | | inconsistent by sub-proof #1203.
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | End of split
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | Case 2:
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | | (4022) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 163.17/24.02 | | | | | | | op(e1, e0) = e0)
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | | BETA: splitting (4022) gives:
% 163.17/24.02 | | | | | | |
% 163.17/24.02 | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | (4023) all_56_8 = e0 & op(e1, e1) = e0
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | ALPHA: (4023) implies:
% 163.17/24.02 | | | | | | | | (4024) all_56_8 = e0
% 163.17/24.02 | | | | | | | | (4025) op(e1, e1) = e0
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | BETA: splitting (55) gives:
% 163.17/24.02 | | | | | | | |
% 163.17/24.02 | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | | (4026) ~ (all_16_2 = e0)
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | | REDUCE: (4012), (4026) imply:
% 163.17/24.02 | | | | | | | | | (4027) $false
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | | CLOSE: (4027) is inconsistent.
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | | (4028) ( ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 163.17/24.02 | | | | | | | | | $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e0, e0) =
% 163.17/24.02 | | | | | | | | | all_16_1 & $i(all_16_1))
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | | BETA: splitting (58) gives:
% 163.17/24.02 | | | | | | | | |
% 163.17/24.02 | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | (4029) ~ (all_18_2 = e0)
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | REDUCE: (327), (4029) imply:
% 163.17/24.02 | | | | | | | | | | (4030) ~ (all_4_2 = e0)
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | BETA: splitting (61) gives:
% 163.17/24.02 | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | (4031) ~ (all_20_2 = e1)
% 163.17/24.02 | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | REDUCE: (300), (4031) imply:
% 163.17/24.02 | | | | | | | | | | | (4032) ~ (all_4_2 = e1)
% 163.17/24.02 | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | BETA: splitting (204) gives:
% 163.17/24.02 | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | (4033) all_54_0 = e1
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | COMBINE_EQS: (279), (4033) imply:
% 163.17/24.02 | | | | | | | | | | | | (4034) all_4_2 = e1
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | REDUCE: (4032), (4034) imply:
% 163.17/24.02 | | | | | | | | | | | | (4035) $false
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | CLOSE: (4035) is inconsistent.
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | (4036) ~ (all_54_0 = e1)
% 163.17/24.02 | | | | | | | | | | | | (4037) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | BETA: splitting (4037) gives:
% 163.17/24.02 | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | (4038) all_54_0 = e2
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | COMBINE_EQS: (279), (4038) imply:
% 163.17/24.02 | | | | | | | | | | | | | (4039) all_4_2 = e2
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | REDUCE: (371), (4039) imply:
% 163.17/24.02 | | | | | | | | | | | | | (4040) $false
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | CLOSE: (4040) is inconsistent.
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | (4041) ~ (all_54_0 = e2)
% 163.17/24.02 | | | | | | | | | | | | | (4042) all_54_0 = e3 | all_54_0 = e0
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | BETA: splitting (4042) gives:
% 163.17/24.02 | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | (4043) all_54_0 = e3
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | COMBINE_EQS: (279), (4043) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4044) all_4_2 = e3
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (336), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4045) ~ (all_52_1 = e3)
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (338), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4046) ~ (all_52_2 = e3)
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (340), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4047) ~ (all_52_3 = e3)
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (342), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4048) ~ (all_52_4 = e3)
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (344), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4049) ~ (all_52_8 = e3)
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (346), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4050) ~ (all_52_12 = e3)
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | REDUCE: (36), (4044) imply:
% 163.17/24.02 | | | | | | | | | | | | | | (4051) op(e3, e3) = e3
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 163.17/24.02 | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | (4052) ~ (all_22_2 = e1)
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | REDUCE: (310), (4052) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | (4053) ~ (all_6_2 = e1)
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 163.17/24.02 | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | (4054) ~ (all_28_2 = e0)
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | REDUCE: (314), (4054) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | | (4055) ~ (all_10_2 = e0)
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 163.17/24.02 | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | (4056) all_54_5 = e1
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (4056) are inconsistent by sub-proof
% 163.17/24.02 | | | | | | | | | | | | | | | | | #1418.
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | (4057) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | BETA: splitting (4057) gives:
% 163.17/24.02 | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4058) all_54_5 = e2
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (4058) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4059) all_10_2 = e2
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | SIMP: (4059) implies:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4060) all_10_2 = e2
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | REDUCE: (354), (4060) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4061) ~ (all_52_7 = e2)
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | REDUCE: (356), (4060) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4062) ~ (all_52_9 = e2)
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | REDUCE: (358), (4060) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4063) ~ (all_52_13 = e2)
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | REDUCE: (45), (4060) imply:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | (4064) op(e2, e2) = e2
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 163.17/24.02 | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (4065) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/24.02 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (4065) gives:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (4066) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4051), (4064), (4066),
% 163.17/24.02 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | #1413.
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (4067) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4050), (4051), (4067), (function-axioms)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1133.
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.03 | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (4068) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (4068) gives:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (4069) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (4062), (4063), (4064), (4069),
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | #1013.
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (4070) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4070) gives:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (4071) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4071) implies:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (4072) ~ (all_57_12 = e2)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (4073) op(e2, e2) = all_57_12
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4064), (4072), (4073), (function-axioms) are
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (4074) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4074) gives:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4075) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4075) implies:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4076) op(e0, e1) = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4077) op(e1, e0) = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (4076) gives:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4078) all_52_11 = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (4077) gives:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4079) all_52_14 = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4079) imply:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4080) ~ (all_52_2 = e1)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4078) imply:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4081) ~ (all_52_3 = e1)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4079) imply:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4082) ~ (all_52_6 = e1)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4078) imply:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | (4083) ~ (all_52_7 = e1)
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | (4084) all_54_8 = e1
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4080), (4084) are inconsistent by
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | (4085) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (140), (143), (144), (191), (192), (195),
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (258), (259), (4013), (4014),
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | (4046), (4047), (4061), (4081), (4082), (4083),
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | | (4085) are inconsistent by sub-proof #625.
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.03 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4086) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4086) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4087) op(e1, e0) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (4087), (function-axioms) are
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | (4088) all_54_5 = e3 | all_54_5 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (4055), (4088) are inconsistent by
% 163.17/24.04 | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | (4089) all_28_2 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (4089) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4090) all_10_2 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | SIMP: (4090) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4091) all_10_2 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (4091) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4092) all_50_2 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | REDUCE: (347), (4091) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4093) ~ (all_52_1 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | REDUCE: (350), (4091) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4094) ~ (all_52_4 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | REDUCE: (375), (4091) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4095) ~ (e3 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | REDUCE: (373), (4091) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4096) ~ (e1 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | REDUCE: (45), (4091) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | (4097) op(e2, e2) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | (4098) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (4051), (4093), (4098),
% 163.17/24.04 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.04 | | | | | | | | | | | | | | | | | #1151.
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | (4099) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | BETA: splitting (4099) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | (4100) all_56_6 = e0 & op(e1, e3) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4013), (4100), (function-axioms) are
% 163.17/24.04 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | (4101) all_56_12 = e0 & op(e0, e3) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | ALPHA: (4101) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | (4102) all_56_12 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | (4103) op(e0, e3) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | (4104) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (4104) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | (4105) all_56_1 = e0 & op(e3, e2) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (4094), (4105), (function-axioms) are
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1202.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | (4106) all_56_3 = e0 & op(e2, e2) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | ALPHA: (4106) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | (4107) all_56_3 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | (4108) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (4051), (4094), (4108),
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | #1201.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | (4109) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4109) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4110) all_56_4 = e0 & op(e3, e1) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4110) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4111) op(e3, e1) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4111) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4112) all_52_8 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4015), (4112) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4113) $false
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4113) is inconsistent.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4114) all_56_9 = e0 & op(e3, e0) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4114) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4115) all_56_9 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4116) op(e3, e0) = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (4103) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4117) all_52_3 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (4116) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4118) all_52_12 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4117) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4119) ~ (all_52_7 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4119) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4120) ~ (all_52_7 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4117) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4121) ~ (all_52_11 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4118) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4122) ~ (all_52_13 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4122) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4123) ~ (all_52_13 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4118) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4124) ~ (all_52_14 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (4118) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4125) ~ (all_6_2 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4125) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | (4126) ~ (all_6_2 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | (4127) all_54_15 = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (4053), (4127) are inconsistent by
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | (4128) ~ (all_54_15 = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | (4129) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4129) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_54_15 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4130) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_6_2 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4131) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_6_2 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4133) all_36_2 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4134) ~ (all_52_7 = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4135) ~ (all_52_11 = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4136) ~ (all_52_13 = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4137) ~ (all_52_14 = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4138) ~ (e3 = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4132) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | (4139) op(e0, e0) = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4140) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4140) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_56_12 = e2 & op(e0, e3) = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4141) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_56_12 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4102), (4142) are inconsistent by sub-proof
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) all_56_13 = e2 & op(e0, e2) = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (207), (209),
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (4013), (4051), (4102),
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4139), (4143), (function-axioms) are inconsistent
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1122.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4144) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4144) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_56_14 = e2 & op(e0, e1) = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4145) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_56_14 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4147) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_56_12 = e1 & op(e0, e3) = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4148) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_56_12 = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4102), (4149) are inconsistent by sub-proof
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_56_13 = e1 & op(e0, e2) = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4150) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_56_13 = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (4013), (4051), (4151), (4152),
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #624.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4139), (4146), (4153), (function-axioms) are
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #851.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4139), (4146), (4154), (function-axioms) are
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1242.
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_56_15 = e2 & op(e0, e0) = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4155) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_56_15 = e2
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4028) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4157) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) ~ (all_16_0 = e3)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) op(e1, e0) = all_16_0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0, e0, e1, simplifying with (160), (4159)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_52_14 = all_16_0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4160) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_54_11 = all_16_0
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4160) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) ~ (all_52_2 = all_16_0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4160) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) ~ (all_52_6 = all_16_0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4160) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) ~ (all_52_13 = all_16_0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4137), (4160) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) ~ (all_16_0 = e2)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4018), (4160) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) ~ (all_16_0 = e0)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_54_11 = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4161), (4167) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_16_0 = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4168) implies:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_16_0 = e1
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4162), (4169) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) ~ (all_52_2 = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4163), (4169) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) ~ (all_52_6 = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4164), (4169) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) ~ (all_52_13 = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4158), (4169) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) ~ (e3 = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4165), (4169) imply:
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) ~ (e2 = e1)
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4159), (4169) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) op(e1, e0) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4177) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4178) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) ~ (all_57_12 = e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) op(e2, e2) = all_57_12
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) op(e2, e3) = e3
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) op(e3, e2) = e3
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) ~ (all_57_12 = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_7 & $i(all_57_7))
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4184) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_56_9 = e1 & op(e3, e0) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4115), (4185) are inconsistent by sub-proof
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #623.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_56_10 = e1 & op(e2, e0) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4186) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) all_56_10 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) op(e2, e0) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_54_8 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4170), (4189) are inconsistent by
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) ~ (all_54_8 = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_54_7 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4172), (4192) are inconsistent by
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) ~ (all_54_7 = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4195) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_56_0 = e1 & op(e3, e3) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4196) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) op(e3, e3) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4051), (4197), (function-axioms) are
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_56_2 = e1 & op(e2, e3) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4198) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_56_2 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (223),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (4013), (4051),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4136), (4179), (4180), (4187), (4199),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #615.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4200) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_56_6 = e1 & op(e1, e3) = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_56_6 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4191) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) all_54_8 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4203) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_52_2 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4204) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_52_2 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4205) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) ~ (all_52_6 = e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4206) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) ~ (all_52_6 = e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_54_9 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4171), (4208) are inconsistent by
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4210) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_56_1 = e2 & op(e3, e2) = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4211) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_56_1 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (214), (215), (216), (219),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (228), (229), (231),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (4013), (4025), (4046),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4102), (4115), (4136), (4139),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4179), (4180), (4187), (4212),
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #601.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_56_3 = e2 & op(e2, e2) = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4213) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) op(e2, e2) = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4179), (4180), (4214), (function-axioms) are
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4215) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) all_56_7 = e2 & op(e1, e2) = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4216) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_56_7 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4209) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_54_9 = e2
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4207), (4218) are inconsistent by
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) ~ (all_54_9 = e2)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_54_9 = e3 | all_54_9 = e0
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4220) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) all_54_9 = e3
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4221) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) all_52_6 = e3
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4222) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_52_6 = e3
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4223) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) ~ (all_52_7 = e3)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4224) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) ~ (all_52_7 = e3)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) all_54_13 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4226) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_52_7 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4227) implies:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_52_7 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (4228) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) ~ (all_52_4 = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_54_1 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (4230) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_52_4 = e1
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4229), (4231) imply:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) $false
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4232) is inconsistent.
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) ~ (all_54_1 = e1)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.17/24.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4102), (4235), (function-axioms)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1361.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4236) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_56_5 = e3 & op(e2, e1) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4237) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_56_5 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4234) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_54_1 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (4239) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) all_52_4 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (4240) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) op(e3, e2) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4242) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_56_2 = e2 & op(e2, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4243) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_56_2 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) op(e2, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_56_0 = e1 & op(e3, e3) = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4247) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) op(e3, e3) = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4051), (4248), (function-axioms) are
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_56_1 = e1 & op(e3, e2) = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4249) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_56_1 = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) op(e3, e2) = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4252) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_56_0 = e2 & op(e3, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4253) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) op(e3, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4051), (4254), (function-axioms) are
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1395.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) all_56_1 = e2 & op(e3, e2) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4255) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_56_1 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (214), (215), (216), (219),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (228), (229), (231),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (4013), (4025), (4046),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4102), (4115), (4136), (4139),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4179), (4180), (4187), (4256),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #601.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4257) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) all_56_4 = e2 & op(e3, e1) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4258) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_56_4 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4260) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) all_56_1 = e3 & op(e3, e2) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4261) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_56_1 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (4051), (4115), (4259),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262), (function-axioms) are inconsistent by
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1334.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) all_56_3 = e3 & op(e2, e2) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4263) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) op(e2, e2) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4097), (4264), (function-axioms) are
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4265) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_56_7 = e3 & op(e1, e2) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4266) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_56_7 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4268) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_56_1 = e2 & op(e3, e2) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4269) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_56_1 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4051), (4246), (4270),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #614.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4271) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_56_4 = e1 & op(e3, e1) = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4272) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_56_4 = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4102), (4274), (function-axioms)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1361.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4236) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4275) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_56_0 = e2 & op(e3, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4276) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) op(e3, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4051), (4277), (function-axioms) are
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1395.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4278) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_56_6 = e2 & op(e1, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4279) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_56_6 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4102), (4244),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280), (function-axioms) are inconsistent by
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #599.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4217), (4267) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) e3 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4238), (4281) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_56_5 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (224), (229),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (4013), (4051), (4097), (4187),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282), (function-axioms) are inconsistent by
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #617.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (4025), (4175), (4283),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_56_6 = e2 & op(e1, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4285) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_56_6 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4202), (4286) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_56_12 = e2 & op(e0, e3) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4287) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_56_12 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4102), (4288) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) e2 = e0
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4051), (4115), (4270),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273), (4289), (function-axioms) are inconsistent
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #607.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) all_56_10 = e3 & op(e2, e0) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4187), (4290) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_56_9 = e1 & op(e3, e0) = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4115), (4291) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #623.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_56_3 = e2 & op(e2, e2) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4292) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) op(e2, e2) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4179), (4180), (4293), (function-axioms) are
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4215) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4216), (4267) are inconsistent by sub-proof
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1090.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_56_13 = e2 & op(e0, e2) = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (229), (231), (233), (4013),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4102), (4115), (4136), (4139), (4175),
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294), (function-axioms) are inconsistent by
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #598.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_56_13 = e3 & op(e0, e2) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4295) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_56_13 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4194) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_54_7 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4136), (4297) are inconsistent by
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) ~ (all_54_7 = e2)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_54_7 = e3 | all_54_7 = e0
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4299) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_54_7 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4300) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) all_52_13 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4301) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_52_13 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4302) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) op(e2, e0) = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) ~ (all_50_2 = e0)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4092), (4304) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) $false
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4305) is inconsistent.
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) ( ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e0, e0)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4306) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) ~ (all_50_0 = e3) & op(e2, e0) = all_50_0 &
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4307) implies:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) op(e2, e0) = all_50_0
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_0,
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4303), (4308) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_50_0 = e3
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_0,
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4188), (4308) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_50_0 = e1
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4182), (4241) gives:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) e3 = e2
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4309), (4310) imply:
% 163.17/24.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) e3 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4312) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) e3 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4311), (4313) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) e2 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4244), (4314) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_56_2 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (223),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (4013), (4051),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4136), (4179), (4180), (4187), (4315),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #615.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_57_12 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4180), (4316) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) op(e2, e2) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (4217), (4250), (4296),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317), (function-axioms) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1035.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4182), (4241) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) e3 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4182), (4251) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) e3 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4318), (4319) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) e2 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4244), (4320) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_56_2 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (223),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (4013), (4051),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4136), (4179), (4180), (4187), (4321),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #615.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_54_7 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4123), (4322) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_56_9 = e2 & op(e3, e0) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4323) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_56_9 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4115), (4324) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) e2 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4244), (4325) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_56_2 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (145), (164), (167), (223), (4107),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238), (4245), (4326), (function-axioms) are
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1068.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4327) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_56_4 = e1 & op(e3, e1) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4328) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_56_4 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (219), (223), (224), (229),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (4013), (4025), (4051), (4097),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102), (4115), (4136), (4139), (4175), (4179),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180), (4187), (4244), (4329), (function-axioms)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #612.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) all_56_9 = e1 & op(e3, e0) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4330) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_56_9 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4115), (4331) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1335.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_56_3 = e2 & op(e2, e2) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4332) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) op(e2, e2) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4179), (4180), (4333), (function-axioms) are
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (224),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (4013), (4051), (4097),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136), (4187), (4334), (function-axioms) are
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #616.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_54_1 = e3 | all_54_1 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (4048), (4094), (4335) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) all_56_10 = e3 & op(e2, e0) = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4336) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) all_56_10 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4187), (4337) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (4120), (4134), (4225), (4338) are
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_54_9 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4014), (4339) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1141.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_56_13 = e2 & op(e0, e2) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (229), (231), (233), (4013),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4102), (4115), (4136), (4139), (4175),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340), (function-axioms) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #598.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_54_8 = e3 | all_54_8 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4013), (4046), (4341) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_56_12 = e1 & op(e0, e3) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4102), (4342) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #600.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4343) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_56_11 = e1 & op(e1, e0) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4344) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_56_11 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4346) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) all_56_6 = e3 & op(e1, e3) = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4347) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) op(e1, e3) = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4348), (function-axioms) are
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_56_7 = e3 & op(e1, e2) = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4349) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_56_7 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_54_8 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4170), (4351) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) ~ (all_54_8 = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4354) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) all_56_0 = e1 & op(e3, e3) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4355) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) op(e3, e3) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4051), (4356), (function-axioms) are
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_56_2 = e1 & op(e2, e3) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4357) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) all_56_2 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) op(e2, e3) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4353) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) all_54_8 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4360) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) all_52_2 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4361) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) all_52_2 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4362) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) ~ (all_52_6 = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4363) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) ~ (all_52_6 = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4365) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_56_9 = e3 & op(e3, e0) = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4366) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_56_9 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4367), (function-axioms) are inconsistent
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1295.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) all_56_10 = e3 & op(e2, e0) = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4368) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) all_56_10 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) all_54_9 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4171), (4370) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) ~ (all_54_9 = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4373) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) all_56_1 = e2 & op(e3, e2) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4374) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) all_56_1 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) op(e3, e2) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4051), (4375), (4377),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1297.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4378) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) all_56_4 = e1 & op(e3, e1) = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4379) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) all_56_4 = e1
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (215), (231),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4051), (4102), (4175), (4350), (4381),
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #596.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4382) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) all_56_6 = e2 & op(e1, e3) = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4383) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) all_56_6 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4372) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) all_54_9 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4364), (4385) are inconsistent by
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) ~ (all_54_9 = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) all_54_9 = e3 | all_54_9 = e0
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4387) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) all_54_9 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4388) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) all_52_6 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4389) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_52_6 = e3
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4390) imply:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) ~ (all_52_7 = e3)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4391) implies:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) ~ (all_52_7 = e3)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.17/24.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (214),
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (225), (226), (228), (231), (232),
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (4025), (4046), (4051), (4102), (4115),
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4375), (4384), (4393), (function-axioms)
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #595.
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4394) gives:
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) all_56_5 = e2 & op(e2, e1) = e2
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4395) implies:
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) all_56_5 = e2
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.17/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) all_54_13 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4397) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) all_52_7 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4398) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) all_52_7 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4399) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) ~ (all_52_11 = e1)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4400) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) ~ (all_52_11 = e1)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) all_54_14 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4401), (4402) are inconsistent by
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) ~ (all_54_14 = e1)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4404) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_54_14 = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4135), (4405) are inconsistent by
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) ~ (all_54_14 = e2)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) all_54_14 = e3 | all_54_14 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4407) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) all_54_14 = e3
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (4408) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_52_11 = e3
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4409) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_52_11 = e3
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4181), (4359) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) e3 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4182), (4376) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) e3 = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4411), (4412) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) e2 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4396), (4413) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_56_5 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4415) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) all_56_2 = e2 & op(e2, e3) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4416) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) all_56_2 = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4102), (4384),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417), (function-axioms) are inconsistent by
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #599.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) all_56_3 = e2 & op(e2, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) op(e2, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (231), (233),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4102), (4369), (4414), (4419),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4394) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4396), (4414) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) e2 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4384), (4413) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) all_56_6 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (215), (231),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (4025), (4051), (4102), (4115),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4350), (4375), (4380), (4421),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #593.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) all_56_10 = e2 & op(e2, e0) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4422) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) op(e2, e0) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4136), (4423), (function-axioms) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) all_54_14 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4017), (4424) are inconsistent by
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (4120), (4134), (4392), (4425) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) all_56_10 = e2 & op(e2, e0) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4426) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) op(e2, e0) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4136), (4427), (function-axioms) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) all_54_9 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4014), (4428) are inconsistent by
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1141.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) all_56_12 = e2 & op(e0, e3) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4051), (4102), (4115),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375), (4380), (4429), (function-axioms) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #594.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) all_56_9 = e1 & op(e3, e0) = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4430) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) all_56_9 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4115), (4431) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) e1 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4432) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) e1 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4358), (4433) imply:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) all_56_2 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (4051),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102), (4434), (function-axioms) are inconsistent
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) all_56_3 = e2 & op(e2, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4435) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) op(e2, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4179), (4180), (4436), (function-axioms) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (229), (231), (233), (4013),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4102), (4115), (4136), (4139), (4175),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350), (4437), (function-axioms) are inconsistent
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #592.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (160), (164), (211), (4115),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136), (4175), (4345), (4438), (function-axioms)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #591.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) all_54_8 = e3 | all_54_8 = e0
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4013), (4046), (4439) are inconsistent by
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4440) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) all_56_6 = e1 & op(e1, e3) = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4441) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) all_56_6 = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4443) gives:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) all_56_1 = e2 & op(e3, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4444) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_56_1 = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (215), (231),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (4025), (4051), (4102),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115), (4175), (4350), (4442), (4445),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #590.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_56_3 = e2 & op(e2, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4446) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) op(e2, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4179), (4180), (4447), (function-axioms) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (229), (231), (233), (4013),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4102), (4115), (4136), (4139), (4175),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350), (4448), (function-axioms) are inconsistent
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #592.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) all_56_12 = e1 & op(e0, e3) = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4102), (4449) are inconsistent by sub-proof
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #600.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (4025), (4345), (4450),
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #589.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_56_15 = e1 & op(e0, e0) = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4451) implies:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) op(e0, e0) = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4139), (4452), (function-axioms) are
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4051), (4453), (function-axioms)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1414.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4050), (4051), (4454), (function-axioms)
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1133.
% 163.39/24.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4455) gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4456) gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4457) implies:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) op(e1, e1) = all_57_14
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4459) gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) ~ (all_57_14 = e0)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4025), (4458), (4460), (function-axioms) are
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #588.
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_57_14 = e0
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) ~ (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4462) implies:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) op(e1, e0) = all_57_13
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) ~ (all_36_2 = e2)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4133), (4464) imply:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) $false
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4465) is inconsistent.
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13, e0, e1, simplifying with (4175), (4463)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) all_57_13 = e1
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4025), (4458), (4459), (4466), (function-axioms)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #587.
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4467) gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4468) implies:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) op(e1, e2) = e1
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (4159), (4175), (4469),
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #586.
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4470) implies:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) op(e2, e0) = e2
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4136), (4471), (function-axioms) are
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4472) gives:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4473) implies:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) op(e0, e2) = e0
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4120), (4474), (function-axioms) are
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4475) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4476) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) op(e0, e1) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4478) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_56_9 = e1 & op(e3, e0) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4115), (4479) are inconsistent by sub-proof
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #623.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_56_10 = e1 & op(e2, e0) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4480) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_56_10 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) op(e2, e0) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) all_54_8 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4170), (4483) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) all_54_7 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4172), (4485) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4487) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) all_56_0 = e1 & op(e3, e3) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4488) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) op(e3, e3) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4051), (4489), (function-axioms) are
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_56_2 = e1 & op(e2, e3) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4490) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) all_56_2 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (223),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (4013), (4051),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4136), (4481), (4491), (function-axioms)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #585.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4492) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_56_6 = e1 & op(e1, e3) = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4493) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_56_6 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4495) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) all_56_6 = e3 & op(e1, e3) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4496) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) op(e1, e3) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4497), (function-axioms) are
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4498) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_56_7 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (215), (227), (229), (231),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (4013), (4025), (4051),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4102), (4115), (4136), (4139), (4175),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494), (4499), (function-axioms) are inconsistent
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #584.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4500) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) all_56_8 = e3 & op(e1, e1) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4501) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) op(e1, e1) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (4502), (function-axioms) are
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) all_56_11 = e3 & op(e1, e0) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4503) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) all_56_11 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4102), (4505), (function-axioms)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1361.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4506) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) all_56_5 = e3 & op(e2, e1) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4507) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) op(e2, e1) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4484) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) all_54_8 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4509) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) all_52_2 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4510) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) all_52_2 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4511) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) ~ (all_52_1 = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4511) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) ~ (all_52_6 = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4513) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) ~ (all_52_6 = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) all_54_4 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4515) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_52_1 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4516) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) ~ (all_52_9 = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4517) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) ~ (all_52_9 = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4516) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) ~ (all_52_13 = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4520) all_54_9 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4171), (4520) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4521) ~ (all_54_9 = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4522) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523) all_54_9 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4514), (4523) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4524) ~ (all_54_9 = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4525) all_54_9 = e3 | all_54_9 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4486) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4526) all_54_7 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4136), (4526) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4527) ~ (all_54_7 = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4528) all_54_7 = e3 | all_54_7 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4528) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529) all_54_7 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4529) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530) all_52_13 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4530) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) all_52_13 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (4531) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) ~ (all_52_9 = e3)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4531) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) op(e2, e0) = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4534) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_56_2 = e2 & op(e2, e3) = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4535) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) all_56_2 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4537) all_54_6 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4518), (4537) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) ~ (all_54_6 = e1)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) all_54_6 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4540) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_52_9 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4541) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_52_9 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (4542) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) op(e2, e1) = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4525) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) all_54_9 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4544) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) all_52_6 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4545) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) all_52_6 = e3
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4482), (4533) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) e3 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1,
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4508), (4543) gives:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4548) e3 = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4547), (4548) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4549) e2 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4536), (4549) imply:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4550) all_56_2 = e1
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (223),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (233), (4013), (4051),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4136), (4481), (4550), (function-axioms)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #585.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_54_9 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4014), (4551) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1141.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4552) all_54_6 = e3 | all_54_6 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4016), (4532), (4552) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1159.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4553) all_56_3 = e2 & op(e2, e2) = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4553) implies:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4554) op(e2, e2) = e2
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4097), (4554), (function-axioms) are
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4555) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (164), (224),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (4013), (4051), (4097),
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136), (4481), (4555), (function-axioms) are
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #616.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4556) all_54_7 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4123), (4556) are inconsistent by
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (4045), (4093), (4512), (4557) are
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 163.39/24.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) all_54_8 = e3 | all_54_8 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4013), (4046), (4558) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) all_56_10 = e3 & op(e2, e0) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4559) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) all_56_10 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4481), (4560) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) e3 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4504), (4561) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) all_56_11 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4563) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) all_56_6 = e3 & op(e1, e3) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4564) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) op(e1, e3) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4565), (function-axioms) are
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4566) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4567) all_56_7 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (215), (227), (229), (231),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (4013), (4025), (4051),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4102), (4115), (4136), (4139), (4175),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494), (4567), (function-axioms) are inconsistent
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #584.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (4025), (4500), (4562),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #589.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4568) all_56_12 = e1 & op(e0, e3) = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4102), (4568) are inconsistent by sub-proof
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #600.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4569) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4569) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4570) all_56_11 = e1 & op(e1, e0) = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4570) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4571) all_56_11 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_54_8 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4170), (4572) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4573) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4574) all_54_7 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4172), (4574) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4575) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4577) all_56_6 = e3 & op(e1, e3) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4577) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4578) op(e1, e3) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4578), (function-axioms) are
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4579) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4579) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4580) all_56_7 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4581) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4582) all_56_1 = e2 & op(e3, e2) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4582) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4583) all_56_1 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4584) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (215), (231),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4051), (4102), (4175), (4580), (4584),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #596.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4585) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) all_56_6 = e2 & op(e1, e3) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4586) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_56_6 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4573) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_54_8 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4588) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_52_2 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4589) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_52_2 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4590) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) ~ (all_52_1 = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_54_4 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4592) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_52_1 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4593) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) ~ (all_52_9 = e1)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4594) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) ~ (all_52_9 = e1)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4593) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) ~ (all_52_13 = e1)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4597) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_56_9 = e3 & op(e3, e0) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4598) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_56_9 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4599), (function-axioms) are inconsistent
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1295.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_56_10 = e3 & op(e2, e0) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4600) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_56_10 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4575) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_54_7 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4136), (4602) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) ~ (all_54_7 = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_54_7 = e3 | all_54_7 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4604) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_54_7 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (4605) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) all_52_13 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4606) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_52_13 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (4607) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) ~ (all_52_9 = e3)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (214),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (225), (226), (228), (231), (232),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (4025), (4046), (4051), (4102), (4115),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4583), (4587), (4609), (function-axioms)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #595.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4610) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_56_5 = e2 & op(e2, e1) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4611) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_56_5 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4613) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_56_4 = e3 & op(e3, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4614) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) op(e3, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4049), (4615), (function-axioms) are
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_56_5 = e3 & op(e2, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4616) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_56_5 = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4618) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_56_2 = e2 & op(e2, e3) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (160), (215), (231),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4051), (4102), (4175), (4580), (4619),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #597.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_56_3 = e2 & op(e2, e2) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (214),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (225), (226), (228), (232), (234),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4046), (4051), (4115), (4175), (4583),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620), (function-axioms) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #602.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4610) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4611), (4617) are inconsistent by sub-proof
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1356.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) all_56_10 = e2 & op(e2, e0) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4621) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) op(e2, e0) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4136), (4622), (function-axioms) are
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4623) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_56_8 = e3 & op(e1, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4624) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) op(e1, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (4625), (function-axioms) are
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_56_14 = e3 & op(e0, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4626) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) op(e0, e1) = e3
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_54_6 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4628) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_52_9 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4595), (4629) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) $false
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4630) is inconsistent.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) ~ (all_54_6 = e1)
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4632) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_54_6 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4633) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_52_9 = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4477), (4627) gives:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) e3 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4601), (4635) imply:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_56_10 = e1
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (224), (229),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (4013), (4051), (4097), (4612),
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636), (function-axioms) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #617.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_54_6 = e3 | all_54_6 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4016), (4608), (4637) are inconsistent by
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1159.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_56_10 = e2 & op(e2, e0) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) op(e2, e0) = e2
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4136), (4639), (function-axioms) are
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_54_7 = e0
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (4123), (4640) are inconsistent by
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (160), (164), (211), (4115),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136), (4175), (4571), (4641), (function-axioms)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #591.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (4045), (4093), (4591), (4642) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_54_8 = e3 | all_54_8 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4013), (4046), (4643) are inconsistent by
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_56_12 = e2 & op(e0, e3) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4644) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_56_12 = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4102), (4645) imply:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) e2 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4156), (4646) imply:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_56_15 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4648) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_56_0 = e0 & op(e3, e3) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4649) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) op(e3, e3) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4051), (4650), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_56_2 = e0 & op(e2, e3) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4651) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) all_56_2 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4653) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) all_56_9 = e2 & op(e3, e0) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4654) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) all_56_9 = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (4051),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102), (4652), (function-axioms) are inconsistent
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_56_10 = e2 & op(e2, e0) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4656) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) op(e2, e0) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4136), (4657), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4658) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_56_11 = e2 & op(e1, e0) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4659) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) op(e1, e0) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (4175), (4660), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1222.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4156), (4647) imply:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) e2 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (4051),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102), (4652), (function-axioms) are inconsistent
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (4013), (4099), (4645),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #583.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_56_3 = e2 & op(e2, e2) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4662) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) op(e2, e2) = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4097), (4663), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (229), (231), (233), (4013),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4102), (4115), (4136), (4139), (4175),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4580), (4664), (function-axioms) are inconsistent
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #592.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (4025), (4571), (4665),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #589.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_56_15 = e1 & op(e0, e0) = e1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) op(e0, e0) = e1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4139), (4667), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4668) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) op(e1, e0) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (4669), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4158), (4161), (4165), (4166), (4670) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #582.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) ~ (all_16_1 = e2) & op(e0, e0) = all_16_1 &
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4671) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) ~ (all_16_1 = e2)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) op(e0, e0) = all_16_1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_16_1,
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (4139), (4673) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_16_1 = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4672), (4674) imply:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) $false
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4675) is inconsistent.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_54_15 = e3 | all_54_15 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (4126), (4676) are inconsistent by
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | (4677) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (4677) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | (4678) all_56_7 = e0 & op(e1, e2) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | ALPHA: (4678) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | (4679) all_56_7 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | (4680) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4680) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | (4681) all_56_0 = e0 & op(e3, e3) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4681) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | (4682) op(e3, e3) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4051), (4682), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | (4683) all_56_1 = e0 & op(e3, e2) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4683) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | (4684) all_56_1 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | (4685) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4685), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1330.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | (4686) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4686) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4679), (4687) are inconsistent by sub-proof
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_56_13 = e3 & op(e0, e2) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4688) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_56_13 = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4690) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4097), (4684), (4690), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #581.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4691) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4679), (4689), (4691) are inconsistent
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #580.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | (4692) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4692) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | (4693) all_56_4 = e0 & op(e3, e1) = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4693) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | (4694) all_56_4 = e0
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | (4695) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4046), (4679), (4695),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | #610.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | (4696) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4696) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_56_8 = e3 & op(e1, e1) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4697) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4698) op(e1, e1) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (4698), (function-axioms) are
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_56_11 = e3 & op(e1, e0) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4699) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_56_11 = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4701) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4694), (4701), (function-axioms)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1010.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | (4702) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4702) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4679), (4703) are inconsistent by sub-proof
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) all_56_13 = e3 & op(e0, e2) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4704) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_56_13 = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) op(e0, e2) = e3
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4707) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_56_1 = e1 & op(e3, e2) = e1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4708) implies:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_56_1 = e1
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4051), (4709), (4710),
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1200.
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4711) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_56_4 = e2 & op(e3, e1) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4712) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_56_4 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4694), (4713) are inconsistent by sub-proof
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_56_9 = e2 & op(e3, e0) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4714) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_56_9 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4716) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_56_6 = e1 & op(e1, e3) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4717) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_56_6 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4719) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) all_56_0 = e2 & op(e3, e3) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4720) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) op(e3, e3) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4051), (4721), (function-axioms) are
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1395.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_56_2 = e2 & op(e2, e3) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4722) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_56_2 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) all_56_15 = e0 & op(e0, e0) = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4724) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_56_15 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) op(e0, e0) = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4727) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_56_12 = e2 & op(e0, e3) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_56_12 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4102), (4729) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) e2 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4723), (4730) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_56_2 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4732) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_56_9 = e1 & op(e3, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4733) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_56_9 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4051), (4694), (4709),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734), (function-axioms) are inconsistent by
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_56_10 = e1 & op(e2, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4735) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_56_10 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (223), (224),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (4013), (4051), (4097),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731), (4736), (function-axioms) are inconsistent
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #579.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4737) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_56_11 = e1 & op(e1, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4738) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_56_11 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4700), (4739) are inconsistent by sub-proof
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #604.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_56_15 = e1 & op(e0, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4740) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) op(e0, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4726), (4741), (function-axioms) are
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_56_13 = e2 & op(e0, e2) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4742) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) op(e0, e2) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4706), (4743), (function-axioms) are
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4744) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_56_14 = e2 & op(e0, e1) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4745) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_56_14 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4747) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_56_4 = e1 & op(e3, e1) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4748) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_56_4 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4694), (4749) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) e1 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4750) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) e1 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (226), (4097), (4679), (4705), (4709),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751), (function-axioms) are inconsistent by
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #578.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_56_5 = e1 & op(e2, e1) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4752) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_56_5 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (4025), (4049),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746), (4753), (function-axioms) are inconsistent
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #575.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4754) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) all_56_8 = e1 & op(e1, e1) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4755) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) op(e1, e1) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4025), (4756), (function-axioms) are
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_56_14 = e1 & op(e0, e1) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4757) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_56_14 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4746), (4758) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) e2 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4759) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) e2 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4715), (4760) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) all_56_9 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4051), (4694), (4709),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761), (function-axioms) are inconsistent by
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) all_56_15 = e2 & op(e0, e0) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4762) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) all_56_15 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4725), (4763) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) e2 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4723), (4764) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_56_2 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4764) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) $false
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4766) is inconsistent.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4767) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4768) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (4051),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102), (4765), (function-axioms) are inconsistent
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (4017), (4705), (4769),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #819.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4770) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4772) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) all_56_9 = e0 & op(e3, e0) = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4773) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_56_9 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (145), (157), (163),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (169), (206), (208), (209), (210),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (218), (220),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (228),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (4013),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017), (4024), (4025), (4046), (4049), (4051),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4102), (4679), (4700), (4705), (4709),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774), (function-axioms) are inconsistent by
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #550.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4775) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) all_56_10 = e0 & op(e2, e0) = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4776) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) all_56_10 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4778) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) all_56_9 = e1 & op(e3, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4779) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) all_56_9 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4051), (4694), (4709),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780), (function-axioms) are inconsistent by
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) all_56_10 = e1 & op(e2, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4781) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) all_56_10 = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4777), (4782) imply:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) e1 = e0
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (226), (4097), (4679), (4705), (4709),
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783), (function-axioms) are inconsistent by
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #578.
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4784) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) all_56_11 = e1 & op(e1, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4785) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) op(e1, e0) = e1
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4787) gives:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_56_6 = e2 & op(e1, e3) = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4788) implies:
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) all_56_6 = e2
% 163.39/24.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4102), (4723),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789), (function-axioms) are inconsistent by
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #599.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) all_56_7 = e2 & op(e1, e2) = e2
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4790) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_56_7 = e2
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4679), (4791) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) e2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4723), (4792) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_56_2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (4051),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102), (4793), (function-axioms) are inconsistent
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (4025), (4786), (4794),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) all_56_15 = e1 & op(e0, e0) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4795) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) op(e0, e0) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4797) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) all_56_4 = e1 & op(e3, e1) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4798) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) all_56_4 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4694), (4799) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_56_5 = e1 & op(e2, e1) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4800) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) all_56_5 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4802) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_56_0 = e0 & op(e3, e3) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4803) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) op(e3, e3) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4051), (4804), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) all_56_2 = e0 & op(e2, e3) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4805) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_56_2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4723), (4806) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4099) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_56_6 = e0 & op(e1, e3) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4013), (4807), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (208), (220),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4049), (4102), (4705), (4796), (4801),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #556.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4808) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_56_8 = e1 & op(e1, e1) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4809) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) op(e1, e1) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4025), (4810), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_56_14 = e1 & op(e0, e1) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4811) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_56_14 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (157), (208), (4017), (4705),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771), (4796), (4812), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #549.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_56_11 = e0 & op(e1, e0) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4813) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) op(e1, e0) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (4814), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4815) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) all_56_6 = e2 & op(e1, e3) = e2
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4816) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_56_6 = e2
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4718), (4817) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) e2 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4818) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) e2 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4715), (4819) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) all_56_9 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (4051), (4694), (4709),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820), (function-axioms) are inconsistent by
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1197.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_56_12 = e2 & op(e0, e3) = e2
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4821) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_56_12 = e2
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4102), (4822) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) e2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4823) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) e2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4715), (4824) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_56_9 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (145), (157), (163),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (169), (206), (208), (209), (210),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (218), (220),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (228),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (4013),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017), (4024), (4025), (4046), (4049), (4051),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4102), (4679), (4700), (4705), (4709),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825), (function-axioms) are inconsistent by
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #550.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_56_7 = e1 & op(e1, e2) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (226), (4097), (4679), (4705), (4709),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826), (function-axioms) are inconsistent by
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #574.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4025), (4700), (4827),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #573.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) all_56_3 = e1 & op(e2, e2) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4828) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) op(e2, e2) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4097), (4829), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4679), (4705), (4830) are inconsistent
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #580.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | (4831) all_56_9 = e0 & op(e3, e0) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4831) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | (4832) all_56_9 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | (4833) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4046), (4679), (4833),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | #610.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | (4834) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4834) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_56_8 = e3 & op(e1, e1) = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4835) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | (4836) op(e1, e1) = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (4836), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | (4837) all_56_11 = e3 & op(e1, e0) = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4837) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | (4838) all_56_11 = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4839) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (232), (234),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4097), (4832), (4839), (function-axioms)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #572.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4840) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4840) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4679), (4841) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) all_56_13 = e3 & op(e0, e2) = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4842) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) all_56_13 = e3
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4844) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_56_1 = e1 & op(e3, e2) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4845) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) all_56_1 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (145), (157), (163),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (167), (169), (206), (208), (209), (210),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (218), (220),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (226), (227), (228),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (4013),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017), (4024), (4025), (4046), (4049), (4051),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097), (4102), (4679), (4832), (4838), (4843),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846), (function-axioms) are inconsistent by
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #550.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) all_56_3 = e1 & op(e2, e2) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4847) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) op(e2, e2) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4097), (4848), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4679), (4843), (4849) are inconsistent
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #580.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | (4850) all_56_13 = e0 & op(e0, e2) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (4850) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | (4851) all_56_13 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (4051), (4097), (4851),
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | | #1321.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | End of split
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | (4852) all_22_2 = e1
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | COMBINE_EQS: (310), (4852) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4853) all_6_2 = e1
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | SIMP: (4853) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | (4854) all_6_2 = e1
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (360), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4855) ~ (all_52_7 = e1)
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (367), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4856) ~ (all_52_11 = e1)
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (368), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4857) ~ (all_52_12 = e1)
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (369), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4858) ~ (all_52_13 = e1)
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (370), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4859) ~ (all_52_14 = e1)
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (372), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4860) ~ (e3 = e1)
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | REDUCE: (39), (4854) imply:
% 163.39/24.14 | | | | | | | | | | | | | | | (4861) op(e0, e0) = e1
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 163.39/24.14 | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | (4862) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 163.39/24.14 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 163.39/24.14 | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | BETA: splitting (4862) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | (4863) all_56_12 = e1 & op(e0, e3) = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | ALPHA: (4863) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | (4864) all_56_12 = e1
% 163.39/24.14 | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | (4865) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 163.39/24.14 | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | BETA: splitting (4865) gives:
% 163.39/24.14 | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | (4866) all_56_0 = e0 & op(e3, e3) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | ALPHA: (4866) implies:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | (4867) op(e3, e3) = e0
% 163.39/24.14 | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4051), (4867), (function-axioms) are
% 163.39/24.14 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 163.39/24.14 | | | | | | | | | | | | | | | | | | |
% 163.39/24.14 | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.14 | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | (4868) all_56_2 = e0 & op(e2, e3) = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | ALPHA: (4868) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | (4869) all_56_2 = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | (4870) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4051), (4869), (4870),
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | #1246.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | (4871) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4871) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | (4872) all_56_6 = e2 & op(e1, e3) = e2
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4872) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | (4873) all_56_6 = e2
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | (4874) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4874) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | (4875) all_56_9 = e1 & op(e3, e0) = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4875) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | (4876) all_56_9 = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | (4877) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4877) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_56_2 = e1 & op(e2, e3) = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4878) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_56_2 = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4869), (4879) imply:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4880) e1 = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4880) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4881) e1 = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4864), (4881) imply:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4882) all_56_12 = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4869), (4873),
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4882), (function-axioms) are inconsistent by
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1149.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4883) all_56_3 = e1 & op(e2, e2) = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4883) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_56_3 = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | (4885) op(e2, e2) = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4886) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) all_56_6 = e1 & op(e1, e3) = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4873), (4887) are inconsistent by sub-proof
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1368.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) all_56_7 = e1 & op(e1, e2) = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4888) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) all_56_7 = e1
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) all_56_15 = e0 & op(e0, e0) = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4890) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) op(e0, e0) = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4892) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) all_56_0 = e0 & op(e3, e3) = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4893) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) op(e3, e3) = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4051), (4894), (function-axioms) are
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_56_1 = e0 & op(e3, e2) = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4895) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) all_56_1 = e0
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4897) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) all_56_1 = e3 & op(e3, e2) = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4898) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) all_56_1 = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051), (4899), (function-axioms) are inconsistent
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1331.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) all_56_3 = e3 & op(e2, e2) = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4900) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) op(e2, e2) = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (225),
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (4051), (4861), (4864), (4869),
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873), (4889), (4891), (4901), (function-axioms)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #547.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4902) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) all_56_7 = e3 & op(e1, e2) = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4889), (4903) are inconsistent by sub-proof
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) all_56_13 = e3 & op(e0, e2) = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4904) implies:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) all_56_13 = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) op(e0, e2) = e3
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 163.39/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4907) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) all_56_12 = e2 & op(e0, e3) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4864), (4908) are inconsistent by sub-proof
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1218.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) all_56_13 = e2 & op(e0, e2) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4909) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) op(e0, e2) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4906), (4910), (function-axioms) are
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4911) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_56_14 = e2 & op(e0, e1) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4912) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) all_56_14 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4914) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) all_56_6 = e3 & op(e1, e3) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4915) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) op(e1, e3) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4046), (4916), (function-axioms) are
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) all_56_7 = e3 & op(e1, e2) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4889), (4917) are inconsistent by sub-proof
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4918) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) all_56_8 = e3 & op(e1, e1) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4919) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) op(e1, e1) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (4920), (function-axioms) are
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) all_56_11 = e3 & op(e1, e0) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4921) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) all_56_11 = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4923) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) all_56_9 = e2 & op(e3, e0) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4924) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_56_9 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4876), (4925) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) e2 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4926) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) e2 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4913), (4927) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_56_14 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (208), (225), (227),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861), (4864), (4884), (4885), (4889), (4905),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906), (4928), (function-axioms) are inconsistent
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #546.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) all_56_10 = e2 & op(e2, e0) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4929) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) all_56_10 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4931) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) all_56_4 = e3 & op(e3, e1) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4932) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) op(e3, e1) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4049), (4933), (function-axioms) are
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_56_5 = e3 & op(e2, e1) = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4934) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_56_5 = e3
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4936) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) all_56_4 = e1 & op(e3, e1) = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4937) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) all_56_4 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4939) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) all_56_0 = e2 & op(e3, e3) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4940) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) op(e3, e3) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4051), (4941), (function-axioms) are
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1395.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) all_56_1 = e2 & op(e3, e2) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4942) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) all_56_1 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4896), (4943) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) e2 = e0
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4944) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) e2 = e0
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4930), (4945) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) all_56_10 = e0
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (4861), (4876), (4922),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946), (function-axioms) are inconsistent by
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1027.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) all_56_4 = e2 & op(e3, e1) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4948) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) all_56_4 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4938), (4949) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) e2 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4930), (4950) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) all_56_10 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (169),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (214), (218),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (224), (225), (229), (230),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (4013), (4018),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4049), (4051), (4859), (4861), (4864),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4873), (4922), (4935), (4951),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #532.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_56_9 = e2 & op(e3, e0) = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4952) implies:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) all_56_9 = e2
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4876), (4953) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) e2 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4930), (4954) imply:
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) all_56_10 = e1
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (169),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (214), (218),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (224), (225), (229), (230),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (4013), (4018),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4049), (4051), (4859), (4861), (4864),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4873), (4922), (4935), (4955),
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #532.
% 163.97/24.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_56_5 = e1 & op(e2, e1) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4956) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_56_5 = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (4025), (4049),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913), (4957), (function-axioms) are inconsistent
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #575.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (208), (225), (227),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4861), (4864), (4884), (4885), (4889),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905), (4906), (4958), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4959) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_56_8 = e3 & op(e1, e1) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4960) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) op(e1, e1) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (4961), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) all_56_14 = e3 & op(e0, e1) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4913), (4962) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #852.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4861), (4922), (4963),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1050.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) all_56_15 = e2 & op(e0, e0) = e2
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4964) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) op(e0, e0) = e2
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4861), (4965), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4966) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_56_4 = e0 & op(e3, e1) = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4967) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) all_56_4 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4969) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) all_56_1 = e3 & op(e3, e2) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4970) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) all_56_1 = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (4051),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968), (4971), (function-axioms) are inconsistent
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1337.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_56_3 = e3 & op(e2, e2) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4972) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) op(e2, e2) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (225),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (4051), (4861), (4864), (4869),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873), (4889), (4891), (4973), (function-axioms)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #547.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4974) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_56_7 = e3 & op(e1, e2) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4889), (4975) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1009.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) all_56_13 = e3 & op(e0, e2) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4976) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) all_56_13 = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) op(e0, e2) = e3
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4979) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_56_4 = e1 & op(e3, e1) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4980) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) all_56_4 = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4968), (4981) imply:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) e1 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4982) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) e1 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4864), (4983) imply:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) all_56_12 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4869), (4873),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984), (function-axioms) are inconsistent by
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1149.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) all_56_5 = e1 & op(e2, e1) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4985) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) all_56_5 = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (163),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (208), (209), (211), (212), (214),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (220), (223), (224), (225), (229),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (4013), (4017),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018), (4025), (4046), (4049), (4051), (4859),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861), (4864), (4869), (4873), (4876), (4986),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #526.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (208), (225), (227),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4861), (4864), (4884), (4885), (4889),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977), (4978), (4987), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #531.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) all_56_9 = e0 & op(e3, e0) = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4988) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_56_9 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4876), (4989) imply:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) e1 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4864), (4990) imply:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) all_56_12 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4869), (4873),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991), (function-axioms) are inconsistent by
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1149.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4992) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4993) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) all_56_12 = e0 & op(e0, e3) = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4994) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) all_56_12 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4051), (4869), (4873),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995), (function-axioms) are inconsistent by
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1149.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4996) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) all_56_13 = e0 & op(e0, e2) = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4997) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) all_56_13 = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (231),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (4051), (4861), (4864), (4869), (4998),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #939.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) all_56_14 = e0 & op(e0, e1) = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4999) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) op(e0, e1) = e0
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4017), (5000), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (4025), (4859), (5001),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | (5002) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5002) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5003) all_56_5 = e1 & op(e2, e1) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5003) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5004) all_56_5 = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (163),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (208), (209), (211), (212), (214),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (220), (223), (224), (225), (229),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (4013), (4017),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4018), (4025), (4046), (4049), (4051), (4859),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4861), (4864), (4869), (4873), (4876), (5004),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | #526.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5005) all_56_10 = e1 & op(e2, e0) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (169),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (214), (218),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (224), (225), (229), (230),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (4013), (4018),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (4049), (4051), (4859), (4861), (4864),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | (4869), (4873), (5005), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #525.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (5006) all_56_10 = e1 & op(e2, e0) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (169),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (214), (218),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (223), (224), (225), (229), (230),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (4013), (4018),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (4025), (4049), (4051), (4859), (4861), (4864),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (4869), (4873), (5006), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #525.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | (5007) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5007) gives:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (5008) all_56_11 = e1 & op(e1, e0) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5008) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (5009) op(e1, e0) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4859), (5009), (function-axioms) are
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (5010) all_56_15 = e1 & op(e0, e0) = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5010) implies:
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (5011) all_56_15 = e1
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (45), (73), (106), (110),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (112), (117), (118), (123), (125), (126), (128),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (133), (135), (136), (139), (140), (141), (143),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (190), (191), (193), (195), (196),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (199), (200), (203), (206), (208),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (218),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (234), (238), (239), (247), (248), (250), (258),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (259), (260), (261), (268), (269), (272), (291),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (314), (352), (356), (358), (373), (375), (4013),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (4017), (4018), (4024), (4025), (4045), (4046),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (4048), (4049), (4050), (4051), (4855), (4856),
% 163.97/24.16 | | | | | | | | | | | | | | | | | | | | | | | (4857), (4858), (4859), (4861), (5011),
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | | | #474.
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | (5012) all_56_12 = e2 & op(e0, e3) = e2
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5012) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | (5013) all_56_12 = e2
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4864), (5013) are inconsistent by sub-proof
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | | #1234.
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | (5014) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 163.97/24.17 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | BETA: splitting (5014) gives:
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (5015) all_56_6 = e0 & op(e1, e3) = e0
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4013), (5015), (function-axioms) are
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (5016) all_56_12 = e0 & op(e0, e3) = e0
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4864), (5016) are inconsistent by sub-proof
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | #1061.
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5017) all_56_13 = e1 & op(e0, e2) = e1
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | ALPHA: (5017) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5018) all_56_13 = e1
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (206),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (208), (209), (229), (231), (233), (4013), (4017),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (4051), (4861), (5018), (function-axioms) are
% 163.97/24.17 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | (5019) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 163.97/24.17 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | BETA: splitting (5019) gives:
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5020) all_56_14 = e1 & op(e0, e1) = e1
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | ALPHA: (5020) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5021) all_56_14 = e1
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | (5022) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 163.97/24.17 | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | BETA: splitting (5022) gives:
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (5023) all_56_12 = e3 & op(e0, e3) = e3
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (233), (4013), (4051), (5023), (function-axioms)
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1125.
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (5024) all_56_13 = e3 & op(e0, e2) = e3
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | ALPHA: (5024) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (5025) all_56_13 = e3
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (157), (206), (208),
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | (4017), (4861), (5021), (5025), (function-axioms)
% 163.97/24.17 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #472.
% 163.97/24.17 | | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | (5026) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 163.97/24.17 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4861), (5021), (5026), (function-axioms) are
% 163.97/24.17 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #965.
% 163.97/24.17 | | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5027) all_56_15 = e1 & op(e0, e0) = e1
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | ALPHA: (5027) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5028) all_56_15 = e1
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (45), (73), (106), (110),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (112), (117), (118), (123), (125), (126), (128),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (133), (135), (136), (139), (140), (141), (143),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (168), (169), (190), (191), (193), (195), (196),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (197), (198), (199), (200), (203), (206), (208),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (218),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (234), (238), (239), (247), (248), (250), (258),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (259), (260), (261), (268), (269), (272), (291),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (314), (352), (356), (358), (373), (375), (4013),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (4017), (4018), (4024), (4025), (4045), (4046),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (4048), (4049), (4050), (4051), (4855), (4856),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (4857), (4858), (4859), (4861), (5028),
% 163.97/24.17 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 163.97/24.17 | | | | | | | | | | | | | | | | | #474.
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | (5029) all_54_0 = e0
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | COMBINE_EQS: (279), (5029) imply:
% 163.97/24.17 | | | | | | | | | | | | | | (5030) all_4_2 = e0
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | REDUCE: (4030), (5030) imply:
% 163.97/24.17 | | | | | | | | | | | | | | (5031) $false
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | CLOSE: (5031) is inconsistent.
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | End of split
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | (5032) all_20_2 = e1
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | COMBINE_EQS: (300), (5032) imply:
% 163.97/24.17 | | | | | | | | | | | (5033) all_4_2 = e1
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | SIMP: (5033) implies:
% 163.97/24.17 | | | | | | | | | | | (5034) all_4_2 = e1
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | COMBINE_EQS: (328), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5035) all_30_2 = e1
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (336), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5036) ~ (all_52_1 = e1)
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (340), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5037) ~ (all_52_3 = e1)
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (342), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5038) ~ (all_52_4 = e1)
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (344), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5039) ~ (all_52_8 = e1)
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (346), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5040) ~ (all_52_12 = e1)
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (371), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5041) ~ (e2 = e1)
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | REDUCE: (36), (5034) imply:
% 163.97/24.17 | | | | | | | | | | | (5042) op(e3, e3) = e1
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | BETA: splitting (76) gives:
% 163.97/24.17 | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | (5043) ~ (all_30_2 = e1)
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | REDUCE: (5035), (5043) imply:
% 163.97/24.17 | | | | | | | | | | | | (5044) $false
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | CLOSE: (5044) is inconsistent.
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | (5045) ( ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 163.97/24.17 | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e1, e1)
% 163.97/24.17 | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | BETA: splitting (5045) gives:
% 163.97/24.17 | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | (5046) ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 163.97/24.17 | | | | | | | | | | | | | $i(all_30_0)
% 163.97/24.17 | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | ALPHA: (5046) implies:
% 163.97/24.17 | | | | | | | | | | | | | (5047) ~ (all_30_0 = e2)
% 163.97/24.17 | | | | | | | | | | | | | (5048) op(e3, e1) = all_30_0
% 163.97/24.17 | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | BETA: splitting (232) gives:
% 163.97/24.17 | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | (5049) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 163.97/24.17 | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | BETA: splitting (5049) gives:
% 163.97/24.17 | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | (5050) all_56_0 = e1 & op(e3, e3) = e1
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | ALPHA: (5050) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | (5051) all_56_0 = e1
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 163.97/24.17 | | | | | | | | | | | | | | | all_30_0, e1, e3, simplifying with (169), (5048)
% 163.97/24.17 | | | | | | | | | | | | | | | gives:
% 163.97/24.17 | | | | | | | | | | | | | | | (5052) all_52_8 = all_30_0
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5053) all_54_2 = all_30_0
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | REDUCE: (134), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5054) ~ (all_52_4 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | REDUCE: (123), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5055) ~ (all_52_9 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | SIMP: (5055) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | (5056) ~ (all_52_9 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | REDUCE: (121), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5057) ~ (all_52_11 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | SIMP: (5057) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | (5058) ~ (all_52_11 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | REDUCE: (120), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5059) ~ (all_52_12 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | SIMP: (5059) implies:
% 163.97/24.17 | | | | | | | | | | | | | | | (5060) ~ (all_52_12 = all_30_0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | REDUCE: (5039), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5061) ~ (all_30_0 = e1)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | REDUCE: (4015), (5052) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | (5062) ~ (all_30_0 = e0)
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 163.97/24.17 | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | (5063) all_54_2 = e1
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (5053), (5063) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | | (5064) all_30_0 = e1
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | REDUCE: (5061), (5064) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | | (5065) $false
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | CLOSE: (5065) is inconsistent.
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | (5066) ~ (all_54_2 = e1)
% 163.97/24.17 | | | | | | | | | | | | | | | | (5067) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | BETA: splitting (5067) gives:
% 163.97/24.17 | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | Case 1:
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5068) all_54_2 = e2
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | COMBINE_EQS: (5053), (5068) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5069) all_30_0 = e2
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | REDUCE: (5047), (5069) imply:
% 163.97/24.17 | | | | | | | | | | | | | | | | | (5070) $false
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | | CLOSE: (5070) is inconsistent.
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 163.97/24.17 | | | | | | | | | | | | | | | | Case 2:
% 163.97/24.17 | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | (5071) ~ (all_54_2 = e2)
% 164.05/24.17 | | | | | | | | | | | | | | | | | (5072) all_54_2 = e3 | all_54_2 = e0
% 164.05/24.17 | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | BETA: splitting (5072) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5073) all_54_2 = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5053), (5073) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5074) all_30_0 = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | REDUCE: (5054), (5074) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5075) ~ (all_52_4 = e3)
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | REDUCE: (5056), (5074) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5076) ~ (all_52_9 = e3)
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | REDUCE: (5058), (5074) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5077) ~ (all_52_11 = e3)
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | REDUCE: (5060), (5074) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5078) ~ (all_52_12 = e3)
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | REDUCE: (5048), (5074) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | (5079) op(e3, e1) = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | (5080) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (5080) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | (5081) all_56_0 = e3 & op(e3, e3) = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (5081) implies:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | (5082) op(e3, e3) = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5042), (5082), (function-axioms) are
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | (5083) all_56_1 = e3 & op(e3, e2) = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (169), (230), (234),
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | (4015), (5051), (5079), (5083), (function-axioms)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #470.
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | (5084) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (5084) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | (5085) all_56_4 = e3 & op(e3, e1) = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | ALPHA: (5085) implies:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | (5086) all_56_4 = e3
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | (5087) ~ (all_22_2 = e1)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (5087) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | (5088) ~ (all_6_2 = e1)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | (5089) ~ (all_28_2 = e0)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (5089) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | (5090) ~ (all_10_2 = e0)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | (5091) all_54_5 = e1
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (5091) are inconsistent by sub-proof
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | #1418.
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | (5092) ~ (all_54_5 = e1)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | (5093) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5093) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5094) all_54_5 = e2
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5094) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_10_2 = e2
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5095) implies:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_10_2 = e2
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (5096) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5097) ~ (all_52_4 = e2)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (5096) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5098) ~ (all_52_6 = e2)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (5096) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5099) ~ (all_52_9 = e2)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (5096) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5100) ~ (all_52_13 = e2)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (5096) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5101) ~ (e3 = e2)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5096) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | (5102) op(e2, e2) = e2
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5103) all_54_1 = e1
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5103) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5104) all_52_4 = e1
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5038), (5104) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5105) $false
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5105) is inconsistent.
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5106) ~ (all_54_1 = e1)
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) all_54_1 = e2
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5108) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) all_52_4 = e2
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (5109) imply:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) $false
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5110) is inconsistent.
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) ~ (all_54_1 = e2)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) all_54_1 = e3 | all_54_1 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_56_0 = e2 & op(e3, e3) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5051), (5114) are inconsistent by sub-proof
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) all_56_1 = e2 & op(e3, e2) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (118), (135), (146), (148), (149),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (163), (164), (165),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (190), (198), (200), (206), (207),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (214), (215),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (223), (224), (225),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (230), (231), (233), (234),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (247), (261), (269), (272), (347), (4013),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015), (4016), (4017), (4018), (4025), (5038),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5075), (5076), (5077), (5078), (5079),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086), (5097), (5099), (5100), (5102), (5112),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115), (function-axioms) are inconsistent by
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5116) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) all_56_4 = e2 & op(e3, e1) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5117) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) op(e3, e1) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5079), (5118), (function-axioms) are
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) all_56_9 = e2 & op(e3, e0) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5119) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) all_56_9 = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5121) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_56_1 = e2 & op(e3, e2) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (118), (135), (146), (148), (149),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (163), (164), (165),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (190), (198), (200), (206), (207),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (214), (215),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (223), (224), (225),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (230), (231), (233), (234),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (247), (261), (269), (272), (347), (4013),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015), (4016), (4017), (4018), (4025), (5038),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5075), (5076), (5077), (5078), (5079),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086), (5097), (5099), (5100), (5102), (5112),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122), (function-axioms) are inconsistent by
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) all_56_3 = e2 & op(e2, e2) = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5123) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) all_56_3 = e2
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) all_54_6 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (5125) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) all_52_9 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5126) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) ~ (all_52_11 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5127) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) ~ (all_52_11 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5126) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) ~ (all_52_13 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5129) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) ~ (all_52_13 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5076), (5126) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) ~ (e3 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) all_54_14 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5128), (5132) are inconsistent by
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) ~ (all_54_14 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5135) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) all_56_4 = e1 & op(e3, e1) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5086), (5136) are inconsistent by sub-proof
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #665.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) all_56_5 = e1 & op(e2, e1) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5137) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) all_56_5 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5112) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_54_1 = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5075), (5139) are inconsistent by
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #820.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) all_54_1 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5140) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) all_52_4 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5141) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) all_52_4 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5142) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) ~ (all_52_6 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5142) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) ~ (all_52_7 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5144) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) ~ (all_52_7 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5142) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) ~ (all_52_12 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5146) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) ~ (all_52_12 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5075), (5142) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) ~ (e3 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (5142) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) ~ (e2 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5038), (5142) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) ~ (e1 = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) all_54_3 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5151) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) all_52_12 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5040), (5152) imply:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) $false
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5153) is inconsistent.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) ~ (all_54_3 = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5156) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) all_56_9 = e1 & op(e3, e0) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5157) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) all_56_9 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5158), (function-axioms) are
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #469.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_56_10 = e1 & op(e2, e0) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5159) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) all_56_10 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) all_56_15 = e0 & op(e0, e0) = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5161) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) all_56_15 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) op(e0, e0) = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5164) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) all_56_2 = e3 & op(e2, e3) = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5165) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) all_56_2 = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5167) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_56_12 = e1 & op(e0, e3) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5168) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) all_56_12 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (163), (229), (4013), (5051), (5166),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169), (function-axioms) are inconsistent by
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #466.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) all_56_13 = e1 & op(e0, e2) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5170) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) all_56_13 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5172) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) all_56_12 = e3 & op(e0, e3) = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5173) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) all_56_12 = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5051), (5166), (5175) are inconsistent
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #467.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4013), (5174), (5176),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #438.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) all_56_13 = e3 & op(e0, e2) = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5171), (5177) are inconsistent by sub-proof
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (219),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5086), (5162), (5178), (function-axioms)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #441.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5179) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_56_14 = e1 & op(e0, e1) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5180) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) all_56_14 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (190), (219), (247), (4017), (4025),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077), (5079), (5128), (5181), (function-axioms)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #455.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_56_15 = e1 & op(e0, e0) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5182) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) op(e0, e0) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5163), (5183), (function-axioms) are
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) all_56_3 = e3 & op(e2, e2) = e3
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (165), (221), (223),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099), (5138), (5160), (5184), (function-axioms)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #465.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5138), (5160), (5185) are inconsistent by
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #537.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (189), (246), (270), (368), (369),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372), (4018), (5078), (5088), (5120), (5147),
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155), (5186), (function-axioms) are inconsistent
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #435.
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5187) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_56_11 = e1 & op(e1, e0) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5188) implies:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) all_56_11 = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) op(e1, e0) = e1
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5155) gives:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_54_3 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5191) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) all_52_12 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5192) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) ~ (all_52_13 = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (5192) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) ~ (all_6_2 = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5194) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) ~ (all_6_2 = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) all_54_15 = e1
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5088), (5196) are inconsistent by
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) ~ (all_54_15 = e1)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5198) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) all_54_15 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (5195), (5199) are inconsistent by
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) ~ (all_54_15 = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) all_54_15 = e3 | all_54_15 = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5202) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) all_56_12 = e1 & op(e0, e3) = e1
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5203) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) all_56_12 = e1
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5205) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) all_56_6 = e2 & op(e1, e3) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5206) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_56_6 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5208) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) all_56_0 = e3 & op(e3, e3) = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5209) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) op(e3, e3) = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5042), (5210), (function-axioms) are
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_56_2 = e3 & op(e2, e3) = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_56_2 = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (163), (229), (4013), (5051), (5204),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212), (function-axioms) are inconsistent by
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #466.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5213) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_56_6 = e3 & op(e1, e3) = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5207), (5214) are inconsistent by sub-proof
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #434.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) all_56_12 = e3 & op(e0, e3) = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5204), (5215) are inconsistent by sub-proof
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1067.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_56_7 = e2 & op(e1, e2) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_56_7 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (118), (164),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (189), (190), (198), (218), (219),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (226), (228), (230), (234),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (367), (369), (372), (4015),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016), (4017), (4025), (5051), (5076), (5077),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079), (5086), (5088), (5099), (5102), (5120),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217), (function-axioms) are inconsistent by
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (4025), (5190), (5218),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) all_56_13 = e1 & op(e0, e2) = e1
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5219) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_56_13 = e1
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (5079), (5099), (5221),
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #458.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5222) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) all_56_8 = e2 & op(e1, e1) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5223) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) op(e1, e1) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (5224), (function-axioms) are
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) all_56_14 = e2 & op(e0, e1) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5225) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) op(e0, e1) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5227) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_56_12 = e3 & op(e0, e3) = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5228) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) all_56_12 = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5230) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_56_0 = e0 & op(e3, e3) = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5051), (5231) are inconsistent by sub-proof
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1177.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_56_2 = e0 & op(e2, e3) = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5232) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) all_56_2 = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5201) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_54_15 = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5234) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_6_2 = e3
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (5235) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) $false
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5236) is inconsistent.
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) all_54_15 = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5237) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_6_2 = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (5238) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) ~ (all_52_3 = e0)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5238) imply:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) ~ (all_52_13 = e0)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5241) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5242) gives:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5243) implies:
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) ~ (all_57_12 = e2)
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) op(e2, e2) = all_57_12
% 164.05/24.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5102), (5244), (5245), (function-axioms) are
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5246) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5247) implies:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) op(e3, e3) = all_57_10
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & $i(all_57_6))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5042), (5079), (5248), (5249), (function-axioms)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #744.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5250) implies:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) op(e1, e3) = e3
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5134) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_54_14 = e2
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5252) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_52_11 = e2
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5253) implies:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) all_52_11 = e2
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5254) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) ~ (all_52_3 = e2)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (192), (249), (5037), (5239),
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251), (5255), (function-axioms) are inconsistent
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #804.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) all_54_14 = e3 | all_54_14 = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4017), (5077), (5256) are inconsistent by
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5257) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5258) implies:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) op(e1, e3) = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) all_54_11 = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5260) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) all_52_14 = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5261) implies:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_52_14 = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5262) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) ~ (all_52_2 = e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5262) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) ~ (all_52_6 = e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) all_54_9 = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5264), (5265) are inconsistent by
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) ~ (all_54_9 = e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) all_54_9 = e2
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5098), (5268) are inconsistent by
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) all_54_9 = e3 | all_54_9 = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5269) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_54_9 = e3
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5270) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) all_52_6 = e3
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5271) implies:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) all_52_6 = e3
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (5272) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) ~ (all_52_2 = e3)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_54_8 = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5263), (5274) are inconsistent by
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) ~ (all_54_8 = e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (163), (165), (223), (224), (259),
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013), (5099), (5124), (5138), (5233), (5259),
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273), (5275), (5276), (function-axioms) are
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #941.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_54_9 = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4014), (5277) are inconsistent by
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1141.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) ~ (all_54_11 = e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (5278) imply:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) ~ (all_52_14 = e1)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5190), (5279), (function-axioms) are
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5042), (5078), (5079), (5280),
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5281) gives:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5099), (5100), (5102), (5282),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1013.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5283) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5284) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) op(e0, e2) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5145), (5285), (function-axioms) are
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5286) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5287) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) op(e0, e1) = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) all_54_7 = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5130), (5289) are inconsistent by
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) ~ (all_54_7 = e1)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5291) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_54_7 = e2
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5100), (5292) are inconsistent by
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) ~ (all_54_7 = e2)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) all_54_7 = e3 | all_54_7 = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5294) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) all_54_7 = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5295) imply:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) all_52_13 = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5296) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_52_13 = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (5226), (5288) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) e2 = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5124), (5298) imply:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) all_56_3 = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099), (5138), (5233), (5299), (function-axioms)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #943.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_54_7 = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (5240), (5300) are inconsistent by
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5301) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) op(e1, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (5302), (function-axioms) are
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4013), (5229), (5303),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #438.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) all_56_13 = e3 & op(e0, e2) = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5220), (5304) are inconsistent by sub-proof
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5305) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_56_14 = e3 & op(e0, e1) = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (4025),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086), (5306), (function-axioms) are inconsistent
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #459.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_56_15 = e3 & op(e0, e0) = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5307) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_56_15 = e3
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) all_56_15 = e0 & op(e0, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5309) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_56_15 = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5308), (5310) are inconsistent by sub-proof
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #429.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5311) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5312) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_56_9 = e0 & op(e3, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5313) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_56_9 = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (160), (164), (211), (5100),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190), (5308), (5314), (function-axioms) are
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #613.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5315) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_56_10 = e0 & op(e2, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5316) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) op(e2, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (246), (369), (372), (5201), (5317),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_56_11 = e0 & op(e1, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) op(e1, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (5319), (function-axioms) are
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5320) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_56_14 = e1 & op(e0, e1) = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5321) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_56_14 = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (190), (219), (247), (4017), (4025),
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077), (5079), (5128), (5322), (function-axioms)
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #455.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_56_15 = e1 & op(e0, e0) = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5323) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_56_15 = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) op(e0, e0) = e1
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_56_15 = e0 & op(e0, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5326) implies:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) op(e0, e0) = e0
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5325), (5327), (function-axioms) are
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5328) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5329) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_56_12 = e0 & op(e0, e3) = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5331) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_56_12 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5333) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) all_56_9 = e3 & op(e3, e0) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5334) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) op(e3, e0) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5078), (5335), (function-axioms) are
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_56_10 = e3 & op(e2, e0) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5336) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) all_56_10 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5338) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) all_56_2 = e0 & op(e2, e3) = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5339) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) all_56_2 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5341) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) all_56_6 = e2 & op(e1, e3) = e2
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5342) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) all_56_6 = e2
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5344) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) all_56_6 = e3 & op(e1, e3) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5345) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_56_6 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5343), (5346) are inconsistent by sub-proof
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #829.
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) all_56_7 = e3 & op(e1, e2) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5347) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_56_7 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5349) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) all_56_0 = e3 & op(e3, e3) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5350) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) op(e3, e3) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (5332), (5340), (5343),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351), (function-axioms) are inconsistent by
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1149.
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_56_2 = e3 & op(e2, e3) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5352) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) all_56_2 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5340), (5353) imply:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) e3 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5348), (5354) imply:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) all_56_7 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (148), (149),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (160), (163), (168), (169), (200),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (216), (228),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (269), (347), (4015), (4017),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018), (4025), (5036), (5051), (5078), (5079),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102), (5189), (5324), (5325), (5329), (5355),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5356) gives:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) all_56_6 = e3 & op(e1, e3) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5357) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_56_6 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5343), (5358) imply:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) e3 = e2
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5359) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) e3 = e2
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5348), (5360) imply:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_56_7 = e2
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (118), (164),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (189), (190), (198), (218), (219),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (226), (228), (230), (234),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (367), (369), (372), (4015),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016), (4017), (4025), (5051), (5076), (5077),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079), (5086), (5088), (5099), (5102), (5120),
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361), (function-axioms) are inconsistent by
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_56_12 = e3 & op(e0, e3) = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5362) implies:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_56_12 = e3
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5332), (5363) imply:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) e3 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5348), (5364) imply:
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) all_56_7 = e0
% 164.05/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (148), (149),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (160), (163), (168), (169), (200),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (211), (212), (216), (228),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (234), (269), (347), (4015), (4017),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018), (4025), (5036), (5051), (5078), (5079),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102), (5189), (5324), (5325), (5329), (5365),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #446.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5366) gives:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_56_8 = e3 & op(e1, e1) = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5367) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) op(e1, e1) = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (5368), (function-axioms) are
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) all_56_11 = e3 & op(e1, e0) = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5369) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) all_56_11 = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5189), (5370) imply:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) e3 = e1
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5337), (5371) imply:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) all_56_10 = e1
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (160), (211), (4018), (5325),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330), (5370), (5372), (function-axioms) are
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #533.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) all_56_7 = e2 & op(e1, e2) = e2
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5373) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_56_7 = e2
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (118), (164),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (189), (190), (198), (218), (219),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (226), (228), (230), (234),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (367), (369), (372), (4015),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016), (4017), (4025), (5051), (5076), (5077),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079), (5086), (5088), (5099), (5102), (5120),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374), (function-axioms) are inconsistent by
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (4025), (5190), (5375),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_56_3 = e0 & op(e2, e2) = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5376) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) op(e2, e2) = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5102), (5377), (function-axioms) are
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5378) gives:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_56_5 = e0 & op(e2, e1) = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5379) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_56_5 = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5138), (5380) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #825.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_56_10 = e0 & op(e2, e0) = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5381) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_56_10 = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5337), (5382) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5383) gives:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) all_56_11 = e3 & op(e1, e0) = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5384) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) all_56_11 = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5189), (5385) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #604.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) all_56_15 = e3 & op(e0, e0) = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5386) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) op(e0, e0) = e3
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5325), (5387), (function-axioms) are
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (4017), (5145), (5388),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #463.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_54_3 = e3 | all_54_3 = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5078), (5147), (5389) are inconsistent by
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1120.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) all_56_15 = e1 & op(e0, e0) = e1
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5390) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) op(e0, e0) = e1
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_56_15 = e0 & op(e0, e0) = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5392) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) op(e0, e0) = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5391), (5393), (function-axioms) are
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (189), (246), (270), (368), (369),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372), (4018), (5078), (5088), (5120), (5147),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155), (5394), (function-axioms) are inconsistent
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #435.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (118), (165), (190), (219), (247), (4017),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5077), (5079), (5128), (5395),
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #440.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4016), (5076), (5099), (5396) are
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5397) gives:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_56_7 = e2 & op(e1, e2) = e2
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5398) implies:
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) all_56_7 = e2
% 164.20/24.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (118), (164),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (189), (190), (198), (218), (219),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (226), (228), (230), (234),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (261), (367), (369), (372), (4015),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016), (4017), (4025), (5051), (5076), (5077),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079), (5086), (5088), (5099), (5102), (5120),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399), (function-axioms) are inconsistent by
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #431.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_56_13 = e2 & op(e0, e2) = e2
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_56_13 = e2
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) op(e0, e2) = e2
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (118), (164), (165), (169), (189),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (198), (218), (219), (221), (223), (224),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (246), (247), (261), (367), (369), (372),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015), (4016), (4017), (4025), (5051), (5076),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077), (5079), (5086), (5088), (5099), (5120),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403), (function-axioms) are inconsistent by
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #432.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5404) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_56_7 = e1 & op(e1, e2) = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5405) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_56_7 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5112) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_54_1 = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5075), (5407) are inconsistent by
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #820.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_54_1 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5408) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_52_4 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5409) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) all_52_4 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5410) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) ~ (all_52_7 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5411) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) ~ (all_52_7 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5075), (5410) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) ~ (e3 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (5410) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) ~ (e2 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_54_6 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (5415) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_52_9 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5416) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) ~ (all_52_11 = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5417) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) ~ (all_52_11 = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5076), (5416) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) ~ (e3 = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5420) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_56_1 = e0 & op(e3, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5421) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_56_1 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_56_15 = e0 & op(e0, e0) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5423) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_56_15 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5425) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) all_56_12 = e1 & op(e0, e3) = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5426) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_56_12 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5428) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_56_12 = e3 & op(e0, e3) = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5427), (5429) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1067.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) all_56_13 = e3 & op(e0, e2) = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5430) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) op(e0, e2) = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5402), (5431), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5432) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_56_14 = e3 & op(e0, e1) = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (4025),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086), (5433), (function-axioms) are inconsistent
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #459.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_56_15 = e3 & op(e0, e0) = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5434) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_56_15 = e3
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5424), (5435) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #429.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) all_56_13 = e1 & op(e0, e2) = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (5051), (5079), (5120),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401), (5422), (5436), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #428.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (157), (165),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (206), (209), (218), (219), (247), (4017),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5077), (5079), (5086), (5401), (5402),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418), (5437), (function-axioms) are inconsistent
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #427.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5438) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5440) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) all_56_12 = e1 & op(e0, e3) = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5441) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_56_12 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5439) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_56_12 = e0 & op(e0, e3) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5442), (5443) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1061.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (4017), (5401), (5444),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) all_56_13 = e1 & op(e0, e2) = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (5051), (5079), (5120),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401), (5422), (5445), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #428.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (157), (165),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (206), (209), (218), (219), (247), (4017),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5077), (5079), (5086), (5401), (5402),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418), (5446), (function-axioms) are inconsistent
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #427.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) all_56_3 = e0 & op(e2, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5447) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) op(e2, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5102), (5448), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_56_7 = e0 & op(e1, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5406), (5450) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #830.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) all_56_13 = e0 & op(e0, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5451) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) op(e0, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5412), (5452), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4016), (5076), (5099), (5453) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) all_56_13 = e1 & op(e0, e2) = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5454) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_56_13 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5401), (5455) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) e2 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5120), (5456) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_56_9 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5457), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #469.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_54_5 = e3 | all_54_5 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (5090), (5458) are inconsistent by
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5459) all_28_2 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (5459) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5460) all_10_2 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5460) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5461) all_10_2 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (5461) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5462) ~ (all_52_1 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (5461) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5463) ~ (all_52_4 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (5461) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5464) ~ (all_52_7 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (5461) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5465) ~ (e1 = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5461) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | (5466) op(e2, e2) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | (5467) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5467) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | (5468) all_56_0 = e0 & op(e3, e3) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5051), (5468) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | #1177.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | (5469) all_56_2 = e0 & op(e2, e3) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5462), (5469), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | (5470) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5470) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | (5471) all_56_6 = e0 & op(e1, e3) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4013), (5471), (function-axioms) are
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | (5472) all_56_12 = e0 & op(e0, e3) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5472) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | (5473) all_56_12 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_54_1 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5474) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_52_4 = e1
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5038), (5475) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5476) $false
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5476) is inconsistent.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5477) ~ (all_54_1 = e1)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5478) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5478) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_54_1 = e2
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (5479) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_52_4 = e2
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5480) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) ~ (all_52_12 = e2)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5481) implies:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) ~ (all_52_12 = e2)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5075), (5480) imply:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) ~ (e3 = e2)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5484) gives:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_56_0 = e0 & op(e3, e3) = e0
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5051), (5485) are inconsistent by sub-proof
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1177.
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_56_1 = e0 & op(e3, e2) = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5463), (5486), (function-axioms) are
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1202.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5487) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_56_4 = e0 & op(e3, e1) = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4015), (5488), (function-axioms) are
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) all_56_9 = e0 & op(e3, e0) = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5489) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) all_56_9 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_54_3 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5040), (5491) are inconsistent by
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1194.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) ~ (all_54_3 = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) all_54_3 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5482), (5494) are inconsistent by
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1193.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) ~ (all_54_3 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) all_54_3 = e3 | all_54_3 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5497) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) all_56_0 = e2 & op(e3, e3) = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5051), (5498) are inconsistent by sub-proof
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) all_56_1 = e2 & op(e3, e2) = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5499) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_56_1 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5496) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) all_54_3 = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5501) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) all_52_12 = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5078), (5502) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) $false
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5503) is inconsistent.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) all_54_3 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5504) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) all_52_12 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5505) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) ~ (all_52_13 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5506) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) ~ (all_52_13 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5505) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) ~ (all_52_14 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (5505) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) ~ (all_6_2 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5509) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) ~ (all_6_2 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5078), (5505) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) ~ (e3 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5482), (5505) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) ~ (e2 = e0)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) all_54_15 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5513) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) all_6_2 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5088), (5514) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) $false
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5515) is inconsistent.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) ~ (all_54_15 = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) all_56_12 = e3 & op(e0, e3) = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5519) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) all_56_12 = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5473), (5520) are inconsistent by sub-proof
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) all_56_13 = e3 & op(e0, e2) = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5521) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_56_13 = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) op(e0, e2) = e3
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5524) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_56_1 = e1 & op(e3, e2) = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5525) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_56_1 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5526), (function-axioms) are
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1175.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_56_3 = e1 & op(e2, e2) = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5527) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) op(e2, e2) = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5466), (5528), (function-axioms) are
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5529) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) all_56_7 = e1 & op(e1, e2) = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5530) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) all_56_7 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) op(e1, e2) = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5473), (5522), (5533) are inconsistent
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1113.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5534) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) all_56_14 = e1 & op(e0, e1) = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5535) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) all_56_14 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5517) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) all_54_15 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5537) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_6_2 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5538) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) all_6_2 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (5539) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) ~ (all_52_3 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (5539) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5541) ~ (all_52_11 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5539) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5542) ~ (all_52_13 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5539) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5543) ~ (all_52_14 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5539) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5544) op(e0, e0) = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5545) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5545) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) all_56_4 = e2 & op(e3, e1) = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5546) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) op(e3, e1) = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5079), (5547), (function-axioms) are
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) all_56_5 = e2 & op(e2, e1) = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5548) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) all_56_5 = e2
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_54_14 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5550) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5551) all_52_11 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5551) implies:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) all_52_11 = e1
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5552) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) ~ (all_52_9 = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5077), (5552) imply:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) ~ (e3 = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5555) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5556) gives:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.20/24.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5557) implies:
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5558) op(e2, e2) = e3
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5466), (5558), (function-axioms) are
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.20/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (4025), (5075), (5559),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #424.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5560) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5561) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5562) op(e1, e1) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (5562), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5563) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5563) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5564) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5564) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565) all_57_6 = e3
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5566) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5566) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5567) all_57_8 = e0 & op(e0, e1) = e0
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5567) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5568) op(e0, e1) = e0
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4017), (5568), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569) ~ (all_57_15 = e1) & op(e0, e0) = all_57_15 &
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5569) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570) ~ (all_57_15 = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5571) op(e0, e0) = all_57_15
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5572) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5572) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573) all_56_6 = e2 & op(e1, e3) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5573) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574) all_56_6 = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5575) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5576) all_56_2 = e1 & op(e2, e3) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5576) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) all_56_2 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (5042), (5473), (5574),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577), (function-axioms) are inconsistent by
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #827.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_56_3 = e1 & op(e2, e2) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5578) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) op(e2, e2) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5466), (5579), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5580) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) all_56_5 = e1 & op(e2, e1) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5581) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) all_56_5 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5549), (5582) imply:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) e2 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5583) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) e2 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5500), (5584) imply:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) all_56_1 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5585), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1175.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) all_56_10 = e1 & op(e2, e0) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) all_56_10 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) all_54_6 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5553), (5588) are inconsistent by
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (110), (117), (145), (146), (148),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (163), (165), (168), (169),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (192), (193), (197), (200), (224), (230),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (239), (249), (250), (260), (261),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (4015), (4016), (4018), (5036), (5037),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042), (5051), (5075), (5076), (5078), (5079),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462), (5464), (5466), (5473), (5500), (5507),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523), (5532), (5540), (5543), (5549), (5565),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574), (5587), (5589), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_56_7 = e2 & op(e1, e2) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5590) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_56_7 = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5531), (5591) imply:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) e2 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5592) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) e2 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5500), (5593) imply:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) all_56_1 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5594), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1175.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5595) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) all_56_8 = e2 & op(e1, e1) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5596) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) op(e1, e1) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (5597), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) all_56_11 = e2 & op(e1, e0) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5598) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_56_11 = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) op(e1, e0) = e2
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_54_6 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5553), (5601) are inconsistent by
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5603) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) all_56_9 = e1 & op(e3, e0) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5604) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_56_9 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5605), (function-axioms) are
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #469.
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) all_56_10 = e1 & op(e2, e0) = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5606) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) all_56_10 = e1
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5608) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) all_56_6 = e3 & op(e1, e3) = e3
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5609) implies:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) all_56_6 = e3
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5611) gives:
% 164.24/24.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_56_9 = e3 & op(e3, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5612) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) op(e3, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5078), (5613), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_56_10 = e3 & op(e2, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5614) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_56_10 = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5607), (5615) imply:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) e3 = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5610), (5616) imply:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) all_56_6 = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (4025),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531), (5617), (function-axioms) are inconsistent
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #452.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5618) gives:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) all_56_11 = e3 & op(e1, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5619) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) all_56_11 = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5599), (5620) imply:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) e3 = e2
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5610), (5621) imply:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_56_6 = e2
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (110), (117), (145), (146), (148),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (160), (163), (165), (168), (169),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (192), (193), (197), (200), (224), (230),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (239), (249), (250), (260), (261),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (4015), (4016), (4018), (5036), (5037),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042), (5051), (5075), (5076), (5078), (5079),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462), (5464), (5466), (5473), (5500), (5507),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523), (5532), (5540), (5543), (5549), (5565),
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602), (5607), (5622), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_56_15 = e3 & op(e0, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5623) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) op(e0, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5544), (5624), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_56_7 = e3 & op(e1, e2) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) all_56_7 = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5531), (5626) are inconsistent by sub-proof
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5627) gives:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) all_56_8 = e3 & op(e1, e1) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5628) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) op(e1, e1) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (5629), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_56_11 = e3 & op(e1, e0) = e3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5599), (5630) are inconsistent by sub-proof
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #916.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5631) gives:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_56_11 = e1 & op(e1, e0) = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5632) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) op(e1, e0) = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (5600), (5633), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1222.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) all_56_15 = e1 & op(e0, e0) = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5634) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) op(e0, e0) = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5570), (5571), (5635), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #421.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5636) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) op(e2, e2) = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5466), (5637), (function-axioms) are
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5638) gives:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5639) gives:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5640) implies:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) (all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5466), (5542), (5641), (function-axioms)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #771.
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5642) gives:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5643) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) op(e3, e3) = e3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5042), (5644), (function-axioms) are
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5645) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) op(e2, e0) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5542), (5646), (function-axioms) are
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5647) gives:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5648) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) op(e2, e2) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5466), (5649), (function-axioms) are
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (157), (158), (164), (4017),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5464), (5466), (5542), (5544), (5650),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #420.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) ~ (all_54_14 = e1)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (247), (5651) imply:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) ~ (all_52_11 = e1)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (219), (247), (4017), (4025),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077), (5079), (5536), (5652), (5653),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #456.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5654) gives:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) all_56_8 = e2 & op(e1, e1) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5655) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) op(e1, e1) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (5656), (function-axioms) are
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_56_14 = e2 & op(e0, e1) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5657) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_56_14 = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5536), (5658) imply:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) e2 = e1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5500), (5659) imply:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) all_56_1 = e1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5660), (function-axioms) are
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1175.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) all_54_15 = e3 | all_54_15 = e0
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (5510), (5661) are inconsistent by
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_56_15 = e1 & op(e0, e0) = e1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5662) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) op(e0, e0) = e1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (5088), (5510), (5517),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663), (function-axioms) are inconsistent by
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1351.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_56_13 = e1 & op(e0, e2) = e1
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5522), (5664) are inconsistent by sub-proof
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1244.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5665) gives:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) all_56_14 = e3 & op(e0, e1) = e3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (4025),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086), (5666), (function-axioms) are inconsistent
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #459.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_56_15 = e3 & op(e0, e0) = e3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5667) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) op(e0, e0) = e3
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (5510), (5517), (5668),
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1318.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5669) gives:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) all_56_4 = e2 & op(e3, e1) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5670) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) op(e3, e1) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5079), (5671), (function-axioms) are
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_56_9 = e2 & op(e3, e0) = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5672) implies:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_56_9 = e2
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5490), (5673) are inconsistent by sub-proof
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) all_54_1 = e3 | all_54_1 = e0
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5075), (5463), (5674) are inconsistent by
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1312.
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.27 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5675) all_22_2 = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (5675) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5676) all_6_2 = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | SIMP: (5676) implies:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5677) all_6_2 = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (5677) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5678) ~ (all_52_11 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5677) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5679) ~ (all_52_14 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (5677) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5680) ~ (e3 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5677) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | (5681) op(e0, e0) = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | (5682) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5682) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | (5683) all_56_4 = e1 & op(e3, e1) = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5086), (5683) are inconsistent by sub-proof
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | #665.
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | (5684) all_56_5 = e1 & op(e2, e1) = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5684) implies:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | (5685) all_56_5 = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_54_14 = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5678), (5686) are inconsistent by
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | (5687) ~ (all_54_14 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5688) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_54_14 = e2
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5689) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | (5690) all_52_11 = e2
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5690) implies:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | (5691) all_52_11 = e2
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5691) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | (5692) ~ (all_52_9 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5077), (5691) imply:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | (5693) ~ (e3 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5694) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5695) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5696) implies:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) op(e2, e2) = e3
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (375), (5697), (function-axioms) are
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1281.
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (4025), (5075), (5698),
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #424.
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5699) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5700) implies:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) op(e1, e1) = e2
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (5701), (function-axioms) are
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5703) implies:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4017), (5681), (5704), (function-axioms)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #419.
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5705) implies:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) op(e2, e1) = e2
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5692), (5706), (function-axioms) are
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5707) gives:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5708) gives:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5709) implies:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) (all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4025), (5679), (5710), (function-axioms)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #485.
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5711) gives:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5712) implies:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) op(e3, e3) = e3
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5042), (5713), (function-axioms) are
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5714) implies:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) (all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4025), (5679), (5715), (function-axioms)
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #485.
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5716) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5717) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) op(e2, e2) = e2
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5719) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) all_56_6 = e1 & op(e1, e3) = e1
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5720) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_56_6 = e1
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (165),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (206), (208), (209), (215), (216), (221),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (229), (230), (231), (233),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (4013), (4015), (4017), (4025),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5681), (5685), (5692), (5718),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (function-axioms) are inconsistent by
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_56_7 = e1 & op(e1, e2) = e1
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5722) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) all_56_7 = e1
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (45), (169), (230),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (4015), (5051), (5079), (5718), (5724),
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #449.
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5725) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_56_7 = e3 & op(e1, e2) = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5726) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) all_56_7 = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (5727) are inconsistent by sub-proof
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_56_13 = e3 & op(e0, e2) = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5728) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_56_13 = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) op(e0, e2) = e3
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5731) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5732) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5733) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) ~ (all_57_12 = e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) op(e2, e2) = all_57_12
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5718), (5734), (5735), (function-axioms) are
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5736) gives:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5737) implies:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) op(e3, e3) = all_57_10
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & $i(all_57_6))
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5042), (5079), (5738), (5739), (function-axioms)
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #744.
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5740) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) op(e1, e3) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (45), (148), (149), (157), (159), (163),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (206), (269), (347), (4017), (5036),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681), (5718), (5729), (5741), (function-axioms)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #448.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5742) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5743) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) op(e3, e1) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) all_56_15 = e0 & op(e0, e0) = e0
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5745) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) op(e0, e0) = e0
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5681), (5746), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5747) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5748) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) all_56_12 = e0 & op(e0, e3) = e0
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5750) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) all_56_12 = e0
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5752) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) all_56_9 = e1 & op(e3, e0) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5753) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_56_9 = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (169), (230), (234), (4015),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051), (5079), (5754), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #469.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) all_56_10 = e1 & op(e2, e0) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5755) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) all_56_10 = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5757) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) all_56_9 = e3 & op(e3, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5758) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) op(e3, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5078), (5759), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_56_10 = e3 & op(e2, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5760) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) all_56_10 = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5756), (5761) imply:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) e3 = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5729), (5762) imply:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_56_13 = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (208), (209),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017), (5681), (5748), (5751), (5763),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #785.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5764) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) all_56_11 = e3 & op(e1, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5765) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) all_56_11 = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (160), (211), (4018), (5681),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749), (5756), (5766), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #533.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_56_15 = e3 & op(e0, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5767) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) op(e0, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5681), (5768), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) all_56_11 = e1 & op(e1, e0) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5770) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) op(e1, e0) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5679), (5771), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_56_15 = e1 & op(e0, e0) = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e1,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (5079), (5744) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) e3 = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5729), (5773) imply:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) all_56_13 = e1
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (208), (209),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017), (5681), (5748), (5751), (5774),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #785.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (4017), (5729), (5775),
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #819.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5776) gives:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5777) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) op(e3, e0) = e3
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5078), (5778), (function-axioms) are
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5779) implies:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) op(e3, e3) = all_57_10
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & $i(all_57_6))
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5042), (5079), (5780), (5781), (function-axioms)
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #744.
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5782) gives:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (5692), (5718), (5730), (5783),
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1275.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (5679), (5718), (5784),
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (4025), (5679), (5785),
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (157), (160), (4017), (4025),
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679), (5681), (5786), (function-axioms) are
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #482.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_54_14 = e3 | all_54_14 = e0
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4017), (5077), (5787) are inconsistent by
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | (5788) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5788) gives:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | (5789) all_56_8 = e1 & op(e1, e1) = e1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5789) implies:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | (5790) op(e1, e1) = e1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4025), (5790), (function-axioms) are
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | (5791) all_56_14 = e1 & op(e0, e1) = e1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5791) implies:
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | (5792) all_56_14 = e1
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (190), (219), (247), (4017), (4025),
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | (5077), (5079), (5678), (5792), (function-axioms)
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #455.
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | |
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | | End of split
% 164.24/24.32 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5793) all_56_9 = e3 & op(e3, e0) = e3
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (5793) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5794) op(e3, e0) = e3
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5078), (5794), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | (5795) all_54_2 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5053), (5795) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | (5796) all_30_0 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | REDUCE: (5062), (5796) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | (5797) $false
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | CLOSE: (5797) is inconsistent.
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | (5798) all_56_1 = e1 & op(e3, e2) = e1
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | ALPHA: (5798) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | (5799) all_56_1 = e1
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 164.68/24.36 | | | | | | | | | | | | | | | (236), (4015), (5042), (5799), (function-axioms)
% 164.68/24.36 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | (5800) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 164.68/24.36 | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | BETA: splitting (5800) gives:
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | (5801) all_56_4 = e1 & op(e3, e1) = e1
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | ALPHA: (5801) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | (5802) op(e3, e1) = e1
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | REF_CLOSE: (169), (5039), (5048), (5802), (function-axioms)
% 164.68/24.36 | | | | | | | | | | | | | | | are inconsistent by sub-proof #418.
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | (5803) all_56_9 = e1 & op(e3, e0) = e1
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | ALPHA: (5803) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | (5804) all_56_9 = e1
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 164.68/24.36 | | | | | | | | | | | | | | | (236), (4015), (5042), (5804), (function-axioms)
% 164.68/24.36 | | | | | | | | | | | | | | | are inconsistent by sub-proof #670.
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | (5805) ~ (all_30_1 = e0) & op(e1, e1) = all_30_1 &
% 164.68/24.36 | | | | | | | | | | | | | $i(all_30_1)
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | ALPHA: (5805) implies:
% 164.68/24.36 | | | | | | | | | | | | | (5806) ~ (all_30_1 = e0)
% 164.68/24.36 | | | | | | | | | | | | | (5807) op(e1, e1) = all_30_1
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | REF_CLOSE: (4025), (5806), (5807), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | (5808) all_18_2 = e0
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | COMBINE_EQS: (327), (5808) imply:
% 164.68/24.36 | | | | | | | | | | (5809) all_4_2 = e0
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | SIMP: (5809) implies:
% 164.68/24.36 | | | | | | | | | | (5810) all_4_2 = e0
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | COMBINE_EQS: (281), (5810) imply:
% 164.68/24.36 | | | | | | | | | | (5811) all_48_2 = e0
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | REDUCE: (336), (5810) imply:
% 164.68/24.36 | | | | | | | | | | (5812) ~ (all_52_1 = e0)
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | REDUCE: (340), (5810) imply:
% 164.68/24.36 | | | | | | | | | | (5813) ~ (all_52_3 = e0)
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | REDUCE: (342), (5810) imply:
% 164.68/24.36 | | | | | | | | | | (5814) ~ (all_52_4 = e0)
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | REDUCE: (346), (5810) imply:
% 164.68/24.36 | | | | | | | | | | (5815) ~ (all_52_12 = e0)
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | REDUCE: (371), (5810) imply:
% 164.68/24.36 | | | | | | | | | | (5816) ~ (e2 = e0)
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | BETA: splitting (229) gives:
% 164.68/24.36 | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | (5817) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 164.68/24.36 | | | | | | | | | | | & op(e2, e3) = e0)
% 164.68/24.36 | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | BETA: splitting (5817) gives:
% 164.68/24.36 | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | (5818) all_56_0 = e0 & op(e3, e3) = e0
% 164.68/24.36 | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | ALPHA: (5818) implies:
% 164.68/24.36 | | | | | | | | | | | | (5819) all_56_0 = e0
% 164.68/24.36 | | | | | | | | | | | | (5820) op(e3, e3) = e0
% 164.68/24.36 | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | BETA: splitting (64) gives:
% 164.68/24.36 | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | (5821) ~ (all_22_2 = e1)
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | REDUCE: (310), (5821) imply:
% 164.68/24.36 | | | | | | | | | | | | | (5822) ~ (all_6_2 = e1)
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 164.68/24.36 | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | (5823) ~ (all_28_2 = e0)
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | REDUCE: (314), (5823) imply:
% 164.68/24.36 | | | | | | | | | | | | | | (5824) ~ (all_10_2 = e0)
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 164.68/24.36 | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | (5825) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | BETA: splitting (5825) gives:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | (5826) all_56_1 = e0 & op(e3, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5814), (5826), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1202.
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | (5827) all_56_3 = e0 & op(e2, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | ALPHA: (5827) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | (5828) op(e2, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5829) all_54_5 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5829) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5830) all_10_2 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | REDUCE: (373), (5830) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5831) $false
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | CLOSE: (5831) is inconsistent.
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5832) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (268), (375), (5824), (5828), (5832),
% 164.68/24.36 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.36 | | | | | | | | | | | | | | | | | #1270.
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | (5833) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 164.68/24.36 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | BETA: splitting (5833) gives:
% 164.68/24.36 | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | (5834) all_56_7 = e0 & op(e1, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4014), (5834), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | (5835) all_56_13 = e0 & op(e0, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | ALPHA: (5835) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | (5836) all_56_13 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | (5837) op(e0, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5838) all_54_5 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5838) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5839) all_10_2 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | REDUCE: (373), (5839) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5840) $false
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | CLOSE: (5840) is inconsistent.
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | (5841) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | (5842) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | BETA: splitting (5842) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5843) all_56_2 = e0 & op(e2, e3) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5812), (5843), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5844) all_56_3 = e0 & op(e2, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | ALPHA: (5844) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5845) op(e2, e2) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (268), (375), (5824), (5841), (5845),
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | #1270.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | (5846) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 164.68/24.36 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | BETA: splitting (5846) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5847) all_56_5 = e0 & op(e2, e1) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4016), (5847), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5848) all_56_10 = e0 & op(e2, e0) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | ALPHA: (5848) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5849) all_56_10 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | (5850) op(e2, e0) = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (5841) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5851) all_54_5 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5851) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5852) all_10_2 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (5852) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5853) ~ (all_52_13 = e2)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5852) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5854) op(e2, e2) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (5837) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5855) all_52_7 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (5850) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5856) all_52_13 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5856) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5857) ~ (all_52_14 = e0)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5856) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5858) ~ (all_6_2 = e0)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | SIMP: (5858) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | (5859) ~ (all_6_2 = e0)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | (5860) all_54_15 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5860) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | (5861) all_6_2 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5822), (5861) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | (5862) $false
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5862) is inconsistent.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | (5863) ~ (all_54_15 = e1)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | (5864) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5864) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | (5865) all_54_15 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5865) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | (5866) all_6_2 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5866) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | (5867) ~ (all_52_14 = e2)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (5866) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | (5868) ~ (e3 = e2)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5866) imply:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | (5869) op(e0, e0) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | (5870) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5870) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_56_0 = e2 & op(e3, e3) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5819), (5871) are inconsistent by sub-proof
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | #417.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | (5872) all_56_2 = e2 & op(e2, e3) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5872) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | (5873) all_56_2 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (222), (224),
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | (5849), (5854), (5873), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #416.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | (5874) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5874) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | (5875) all_56_6 = e2 & op(e1, e3) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5875) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | (5876) all_56_6 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | (5877) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5877) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) all_56_0 = e2 & op(e3, e3) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5819), (5878) are inconsistent by sub-proof
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | #417.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) all_56_1 = e2 & op(e3, e2) = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5879) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) all_56_1 = e2
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5881) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) all_56_1 = e1 & op(e3, e2) = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5880), (5882) are inconsistent by sub-proof
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1298.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) all_56_3 = e1 & op(e2, e2) = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5883) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) op(e2, e2) = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5854), (5884), (function-axioms) are
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5885) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_56_7 = e1 & op(e1, e2) = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5886) implies:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_56_7 = e1
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (5854), (5880), (5888),
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #415.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5889) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_56_7 = e3 & op(e1, e2) = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5890) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) all_56_7 = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5887), (5891) are inconsistent by sub-proof
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_56_13 = e3 & op(e0, e2) = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5892) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) all_56_13 = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5836), (5893) are inconsistent by sub-proof
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) all_56_13 = e1 & op(e0, e2) = e1
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5894) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) all_56_13 = e1
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5836), (5895) are inconsistent by sub-proof
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1324.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | (5896) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5896) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) all_56_4 = e2 & op(e3, e1) = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5897) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) all_56_4 = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) op(e3, e1) = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4028) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5900) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) ~ (all_16_0 = e3)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) op(e1, e0) = all_16_0
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0, e0, e1, simplifying with (160), (5902)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) all_52_14 = all_16_0
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (5899) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_52_8 = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5903) imply:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_54_11 = all_16_0
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5904) imply:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) ~ (all_52_9 = e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5906) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) ~ (all_52_9 = e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5867), (5903) imply:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) ~ (all_16_0 = e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4018), (5903) imply:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) ~ (all_16_0 = e0)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5910) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) all_56_9 = e3 & op(e3, e0) = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5911) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) all_56_9 = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) op(e3, e0) = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5914) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5915) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5916) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) ~ (all_57_12 = e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) op(e2, e2) = all_57_12
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5854), (5917), (5918), (function-axioms) are
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5919) gives:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5920) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) op(e3, e2) = e2
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (5820), (5898), (5912),
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921), (function-axioms) are inconsistent by
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #701.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5922) implies:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) op(e3, e1) = e3
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5899), (5923), (function-axioms) are
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5924) gives:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5925) implies:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) op(e3, e1) = e1
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5899), (5926), (function-axioms) are
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5927) gives:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5928) implies:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) op(e0, e0) = all_57_15
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5837), (5869), (5929), (5930), (function-axioms)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5931) implies:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) op(e3, e0) = e0
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5913), (5932), (function-axioms) are
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5933) gives:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5853), (5854), (5907), (5934),
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1013.
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) ~ (all_57_12 = e2)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) op(e2, e2) = all_57_12
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5854), (5937), (5938), (function-axioms) are
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5939) gives:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5940) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) op(e0, e0) = all_57_15
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5837), (5869), (5941), (5942), (function-axioms)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5943) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) op(e1, e0) = e0
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (5944), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) all_56_10 = e3 & op(e2, e0) = e3
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5849), (5945) are inconsistent by sub-proof
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1228.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5946) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_56_11 = e3 & op(e1, e0) = e3
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5947) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_56_11 = e3
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) all_54_11 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5905), (5949) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) all_16_0 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5950) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) all_16_0 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5901), (5951) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) ~ (e3 = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5908), (5951) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) ~ (e2 = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5902), (5951) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) op(e1, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5955) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_56_6 = e1 & op(e1, e3) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5956) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_56_6 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5876), (5957) are inconsistent by sub-proof
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) all_56_7 = e1 & op(e1, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5958) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) op(e1, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (5902), (5954), (5959),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #586.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (4025), (5948), (5960),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #573.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5901), (5905), (5908), (5909), (5961) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #582.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_56_15 = e3 & op(e0, e0) = e3
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5962) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) op(e0, e0) = e3
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5869), (5963), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) ~ (all_16_1 = e2) & op(e0, e0) = all_16_1 &
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5964) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) ~ (all_16_1 = e2)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) op(e0, e0) = all_16_1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5869), (5965), (5966), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_56_9 = e2 & op(e3, e0) = e2
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5967) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) all_56_9 = e2
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5969) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_56_9 = e1 & op(e3, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5968), (5970) are inconsistent by sub-proof
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1339.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) all_56_10 = e1 & op(e2, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5971) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_56_10 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5849), (5972) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) e1 = e0
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (5973) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) $false
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5974) is inconsistent.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5975) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) all_56_11 = e1 & op(e1, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5976) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) all_56_11 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (212), (5849), (5869), (5968),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977), (function-axioms) are inconsistent by
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1226.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_56_15 = e1 & op(e0, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) op(e0, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5869), (5979), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_56_12 = e2 & op(e0, e3) = e2
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5980) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_56_12 = e2
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (207), (209), (5836),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | (5869), (5981), (function-axioms) are inconsistent
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1230.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | (5982) all_54_15 = e3 | all_54_15 = e0
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (5859), (5982) are inconsistent by
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (5983) all_54_5 = e3 | all_54_5 = e0
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (375), (5824), (5983) are inconsistent by
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | sub-proof #1400.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | (5984) all_28_2 = e0
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | COMBINE_EQS: (314), (5984) imply:
% 164.68/24.39 | | | | | | | | | | | | | | (5985) all_10_2 = e0
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | SIMP: (5985) implies:
% 164.68/24.39 | | | | | | | | | | | | | | (5986) all_10_2 = e0
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | REDUCE: (354), (5986) imply:
% 164.68/24.39 | | | | | | | | | | | | | | (5987) ~ (all_52_7 = e0)
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | REDUCE: (358), (5986) imply:
% 164.68/24.39 | | | | | | | | | | | | | | (5988) ~ (all_52_13 = e0)
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | REDUCE: (375), (5986) imply:
% 164.68/24.39 | | | | | | | | | | | | | | (5989) ~ (e3 = e0)
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | REDUCE: (373), (5986) imply:
% 164.68/24.39 | | | | | | | | | | | | | | (5990) ~ (e1 = e0)
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | REDUCE: (45), (5986) imply:
% 164.68/24.39 | | | | | | | | | | | | | | (5991) op(e2, e2) = e0
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.68/24.39 | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | (5992) all_56_15 = e0 & op(e0, e0) = e0
% 164.68/24.39 | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | ALPHA: (5992) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | (5993) op(e0, e0) = e0
% 164.68/24.39 | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 164.68/24.39 | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | (5994) all_54_11 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (5994) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | (5995) all_52_14 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | SIMP: (5995) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | (5996) all_52_14 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | REDUCE: (141), (5996) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | (5997) ~ (all_52_2 = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | REDUCE: (126), (5996) imply:
% 164.68/24.39 | | | | | | | | | | | | | | | | (5998) ~ (all_52_6 = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | (5999) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (5997), (5998), (5999),
% 164.68/24.39 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.68/24.39 | | | | | | | | | | | | | | | | | #889.
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | (6000) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | BETA: splitting (6000) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | (6001) all_56_8 = e1 & op(e1, e1) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | ALPHA: (6001) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | (6002) op(e1, e1) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4025), (6002), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | (6003) all_56_11 = e1 & op(e1, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | ALPHA: (6003) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | (6004) all_56_11 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | (6005) op(e1, e0) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | (6006) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (6006) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6007) all_56_1 = e1 & op(e3, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (6007) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6008) all_56_1 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6009) op(e3, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (134), (136), (157),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (168), (169), (170), (230),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (234), (236), (238), (239), (4015), (4017),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (4018), (4025), (5814), (5815), (5820), (5987),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (5991), (5993), (6008), (6009), (function-axioms)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #407.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6010) all_56_3 = e1 & op(e2, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (6010) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6011) op(e2, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5991), (6011), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | (6012) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (6012) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6013) all_56_7 = e1 & op(e1, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (6013) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6014) all_56_7 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (160), (215), (216),
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (4025), (6004), (6005), (6014), (function-axioms)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #406.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6015) all_56_13 = e1 & op(e0, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (6015) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6016) all_56_13 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6017) op(e0, e2) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6017) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | (6018) all_52_7 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | (6019) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6019) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | (6020) all_56_0 = e1 & op(e3, e3) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6020) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | (6021) op(e3, e3) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5820), (6021), (function-axioms) are
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | (6022) all_56_2 = e1 & op(e2, e3) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6022) implies:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | (6023) op(e2, e3) = e1
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.39 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | (6024) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6024) gives:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6025) all_56_0 = e1 & op(e3, e3) = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6025) implies:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6026) op(e3, e3) = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5820), (6026), (function-axioms) are
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_56_1 = e1 & op(e3, e2) = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6027) implies:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6028) all_56_1 = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6029) op(e3, e2) = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (134), (136), (157),
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (168), (169), (170), (230),
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (238), (239), (4015), (4017),
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (4018), (4025), (5814), (5815), (5820), (5987),
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (5991), (5993), (6028), (6029), (function-axioms)
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #407.
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | (6030) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6030) gives:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_56_4 = e1 & op(e3, e1) = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6031) implies:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6032) op(e3, e1) = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6023) gives:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6033) all_52_1 = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (6032) gives:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6034) all_52_8 = e1
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6033) imply:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | (6035) ~ (all_52_2 = e1)
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.68/24.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (6036) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6036) gives:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6037) gives:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6038) implies:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) op(e2, e3) = e3
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (6023), (6039) gives:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) e3 = e1
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6040) imply:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) $false
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6041) is inconsistent.
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6042) gives:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6043) implies:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) op(e2, e3) = e2
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e3,
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (6023), (6044) gives:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) e2 = e1
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6045) imply:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) $false
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6046) is inconsistent.
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6047) implies:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) op(e1, e1) = all_57_14
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (158), (162), (238), (4017),
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5820), (5987), (5991), (5993), (5998),
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048), (6049), (function-axioms) are inconsistent
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #403.
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6050) gives:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6051) implies:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) op(e1, e3) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (6052) gives:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_52_2 = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5997), (6053) imply:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) $false
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6054) is inconsistent.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5815), (5993), (6055), (function-axioms)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #408.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6056) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6056) gives:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6057) gives:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6058) implies:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) op(e1, e1) = all_57_14
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (158), (162), (238), (4017),
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025), (5820), (5987), (5991), (5993), (5998),
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059), (6060), (function-axioms) are inconsistent
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #403.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5993), (5998), (6061), (function-axioms)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #904.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (4018), (5987), (5993), (6062),
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | | #1012.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_56_9 = e1 & op(e3, e0) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6063) implies:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | (6064) all_56_9 = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (160), (211), (212),
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | (5993), (6004), (6005), (6064), (function-axioms)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #788.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | (6065) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6065) gives:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | (6066) all_56_6 = e1 & op(e1, e3) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (160), (215), (216),
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | (4025), (6004), (6005), (6066), (function-axioms)
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #402.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | (6067) all_56_12 = e1 & op(e0, e3) = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6067) implies:
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | (6068) all_56_12 = e1
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (208), (209), (5993),
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | (6016), (6068), (function-axioms) are inconsistent
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #401.
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | End of split
% 164.92/24.41 | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | Case 2:
% 164.92/24.41 | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | (6069) ~ (all_54_11 = e1)
% 164.92/24.41 | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | REDUCE: (250), (6069) imply:
% 164.92/24.41 | | | | | | | | | | | | | | | | (6070) ~ (all_52_14 = e1)
% 164.92/24.41 | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 164.92/24.41 | | | | | | | | | | | | | | | |
% 164.92/24.41 | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.41 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | (6071) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | BETA: splitting (6071) gives:
% 164.92/24.42 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (6072) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (4025), (5820), (5991), (6072),
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.92/24.42 | | | | | | | | | | | | | | | | | | #404.
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (6073) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | BETA: splitting (6073) gives:
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (6074) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | ALPHA: (6074) implies:
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (6075) op(e1, e1) = e2
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (6075), (function-axioms) are
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | (6076) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5820), (5991), (6076), (function-axioms) are
% 164.92/24.42 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #703.
% 164.92/24.42 | | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | End of split
% 164.92/24.42 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.42 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | (6077) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.42 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.92/24.42 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.92/24.42 | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.92/24.42 | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.92/24.42 | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.92/24.42 | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.92/24.42 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.92/24.42 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | BETA: splitting (6077) gives:
% 164.92/24.42 | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.42 | | | | | | | | | | | | | | | | | |
% 164.92/24.42 | | | | | | | | | | | | | | | | | | (6078) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 164.92/24.42 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 164.92/24.42 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 164.92/24.42 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (4025), (5820), (6070), (6078),
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.92/24.43 | | | | | | | | | | | | | | | | | | #400.
% 164.92/24.43 | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.43 | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (6079) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | BETA: splitting (6079) gives:
% 164.92/24.43 | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (6080) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ALPHA: (6080) implies:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (6081) op(e2, e2) = e2
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5991), (6081), (function-axioms) are
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (6082) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (6082) gives:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (6083) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (6083) implies:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (6084) op(e1, e1) = e1
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4025), (6084), (function-axioms) are
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (6085) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (6085) implies:
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (6086) op(e0, e0) = all_57_15
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (6087) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 164.92/24.43 | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6087) gives:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (6088) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6088) gives:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6089) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6089) implies:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6090) all_57_15 = e3
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6086), (6090) imply:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6091) op(e0, e0) = e3
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e0,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (5993), (6091) gives:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6092) e3 = e0
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (6092) imply:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6093) $false
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6093) is inconsistent.
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6094) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6094) implies:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (6095) op(e0, e2) = e0
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5987), (6095), (function-axioms) are
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (6096) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (4017), (4025), (6070), (6096),
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | | #484.
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | Case 2:
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | (6097) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.92/24.44 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.92/24.44 | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.92/24.44 | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | ALPHA: (6097) implies:
% 164.92/24.44 | | | | | | | | | | | | | | | (6098) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.92/24.44 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 164.92/24.44 | | | | | | | | | | | | | | | e0) = e0)
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (168), (4018), (5815), (5988),
% 164.92/24.44 | | | | | | | | | | | | | | | (6098), (function-axioms) are inconsistent by
% 164.92/24.44 | | | | | | | | | | | | | | | sub-proof #399.
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | End of split
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | Case 2:
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | (6099) all_22_2 = e1
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | COMBINE_EQS: (310), (6099) imply:
% 164.92/24.44 | | | | | | | | | | | | | (6100) all_6_2 = e1
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | REDUCE: (367), (6100) imply:
% 164.92/24.44 | | | | | | | | | | | | | (6101) ~ (all_52_11 = e1)
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | REDUCE: (368), (6100) imply:
% 164.92/24.44 | | | | | | | | | | | | | (6102) ~ (all_52_12 = e1)
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | REDUCE: (370), (6100) imply:
% 164.92/24.44 | | | | | | | | | | | | | (6103) ~ (all_52_14 = e1)
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | REDUCE: (372), (6100) imply:
% 164.92/24.44 | | | | | | | | | | | | | (6104) ~ (e3 = e1)
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | REDUCE: (39), (6100) imply:
% 164.92/24.44 | | | | | | | | | | | | | (6105) op(e0, e0) = e1
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | BETA: splitting (206) gives:
% 164.92/24.44 | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | (6106) all_56_15 = e0 & op(e0, e0) = e0
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | ALPHA: (6106) implies:
% 164.92/24.44 | | | | | | | | | | | | | | (6107) op(e0, e0) = e0
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | REF_CLOSE: (4), (6105), (6107), (function-axioms) are
% 164.92/24.44 | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | Case 2:
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | (6108) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.92/24.44 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 164.92/24.44 | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 164.92/24.44 | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | ALPHA: (6108) implies:
% 164.92/24.44 | | | | | | | | | | | | | | (6109) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 164.92/24.44 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 164.92/24.44 | | | | | | | | | | | | | | e1) = e0)
% 164.92/24.44 | | | | | | | | | | | | | | (6110) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 164.92/24.44 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 164.92/24.44 | | | | | | | | | | | | | | e0) = e0)
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 164.92/24.44 | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | (6111) ~ (all_48_2 = e0)
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | REDUCE: (5811), (6111) imply:
% 164.92/24.44 | | | | | | | | | | | | | | | (6112) $false
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | CLOSE: (6112) is inconsistent.
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | Case 2:
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | (6113) ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 164.92/24.44 | | | | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0)
% 164.92/24.44 | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | BETA: splitting (6113) gives:
% 164.92/24.44 | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | (6114) ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 164.92/24.44 | | | | | | | | | | | | | | | | $i(all_48_0)
% 164.92/24.44 | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | ALPHA: (6114) implies:
% 164.92/24.44 | | | | | | | | | | | | | | | | (6115) ~ (all_48_0 = e2)
% 164.92/24.44 | | | | | | | | | | | | | | | | (6116) op(e3, e0) = all_48_0
% 164.92/24.44 | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 164.92/24.44 | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | (6117) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.44 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.44 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.44 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.44 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.44 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.44 | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.92/24.44 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.92/24.44 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.92/24.44 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.44 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.44 | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | BETA: splitting (6117) gives:
% 164.92/24.44 | | | | | | | | | | | | | | | | |
% 164.92/24.44 | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.44 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | (6118) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (45), (375), (4025), (5820), (6118),
% 164.92/24.45 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.92/24.45 | | | | | | | | | | | | | | | | | | #398.
% 164.92/24.45 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.45 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | (6119) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | BETA: splitting (6119) gives:
% 164.92/24.45 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | Case 1:
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (6120) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | ALPHA: (6120) implies:
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (6121) op(e1, e1) = e2
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4025), (6121), (function-axioms) are
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (6122) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (4017), (5820), (6105), (6122),
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 164.92/24.45 | | | | | | | | | | | | | | | | | | | #397.
% 164.92/24.45 | | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | | End of split
% 164.92/24.45 | | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | | End of split
% 164.92/24.45 | | | | | | | | | | | | | | | | |
% 164.92/24.45 | | | | | | | | | | | | | | | | Case 2:
% 164.92/24.45 | | | | | | | | | | | | | | | | |
% 165.13/24.45 | | | | | | | | | | | | | | | | | (6123) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.13/24.45 | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.13/24.45 | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.45 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.13/24.45 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.13/24.45 | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.13/24.45 | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.13/24.45 | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.13/24.45 | | | | | | | | | | | | | | | | |
% 165.13/24.45 | | | | | | | | | | | | | | | | | BETA: splitting (6123) gives:
% 165.13/24.45 | | | | | | | | | | | | | | | | |
% 165.13/24.45 | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.45 | | | | | | | | | | | | | | | | | |
% 165.13/24.45 | | | | | | | | | | | | | | | | | | (6124) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.13/24.45 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.13/24.45 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.13/24.45 | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.13/24.45 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.13/24.45 | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.13/24.45 | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.45 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.13/24.45 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.13/24.45 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.13/24.45 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.13/24.45 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.13/24.45 | | | | | | | | | | | | | | | | | |
% 165.13/24.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (4025), (5820), (6103), (6124),
% 165.13/24.45 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.45 | | | | | | | | | | | | | | | | | | #400.
% 165.13/24.45 | | | | | | | | | | | | | | | | | |
% 165.13/24.45 | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.45 | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (6125) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.13/24.46 | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | BETA: splitting (6125) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | (6126) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.13/24.46 | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | ALPHA: (6126) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | (6127) op(e2, e2) = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (6109) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | (6128) all_56_12 = e0 & op(e0, e3) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (6128) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | (6129) op(e0, e3) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5813), (6129), (function-axioms) are
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | (6130) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6130) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6131) all_56_13 = e0 & op(e0, e2) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6131) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6132) all_56_13 = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6133) op(e0, e2) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6133) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6134) all_52_7 = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (45), (6127) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6135) all_10_2 = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | all_48_0, e0, e3, simplifying with (168), (6116)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6136) all_52_12 = all_48_0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6136) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6137) all_54_3 = all_48_0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (6135) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6138) ~ (all_52_1 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6136) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6139) ~ (all_52_4 = all_48_0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (6135) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6140) ~ (all_52_4 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6134) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6141) ~ (all_52_11 = e0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6136) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6142) ~ (all_52_8 = all_48_0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6102), (6136) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6143) ~ (all_48_0 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5815), (6136) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6144) ~ (all_48_0 = e0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (6135) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | (6145) ~ (all_52_13 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | (6146) all_54_3 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6137), (6146) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | (6147) all_48_0 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6143), (6147) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | (6148) $false
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6148) is inconsistent.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | (6149) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6149) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | (6150) all_54_3 = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6137), (6150) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | (6151) all_48_0 = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6115), (6151) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | (6152) $false
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6152) is inconsistent.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | (6153) all_54_3 = e3 | all_54_3 = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6153) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | (6154) all_54_3 = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6137), (6154) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | (6155) all_48_0 = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6139), (6155) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | (6156) ~ (all_52_4 = e3)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6142), (6155) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | (6157) ~ (all_52_8 = e3)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6116), (6155) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | (6158) op(e3, e0) = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6159) all_54_1 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6159) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6160) all_52_4 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6160) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_52_4 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6161) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6162) ~ (all_52_8 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6162) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6163) ~ (all_52_8 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) all_54_2 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (6163), (6164) are inconsistent by
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1191.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) ~ (all_54_2 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6166) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_54_2 = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6167) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) all_52_8 = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6168) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_52_8 = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6169) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) ~ (all_52_9 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6170) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) ~ (all_52_9 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6169) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) ~ (e3 = e2)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (6169) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) op(e3, e1) = e2
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6174) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_56_0 = e1 & op(e3, e3) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6175) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) op(e3, e3) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5820), (6176), (function-axioms) are
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) all_56_1 = e1 & op(e3, e2) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6177) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) all_56_1 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6110) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) all_56_9 = e0 & op(e3, e0) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6179) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) op(e3, e0) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6158), (6180), (function-axioms) are
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6181) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_56_10 = e0 & op(e2, e0) = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6182) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) all_56_10 = e0
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6184) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_56_1 = e3 & op(e3, e2) = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6185) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) op(e3, e2) = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6156), (6186), (function-axioms) are
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_56_3 = e3 & op(e2, e2) = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6187) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) op(e2, e2) = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6127), (6188), (function-axioms) are
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6189) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_56_7 = e3 & op(e1, e2) = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6190) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_56_7 = e3
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6192) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_56_4 = e1 & op(e3, e1) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6193) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) op(e3, e1) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6173), (6194), (function-axioms) are
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_56_5 = e1 & op(e2, e1) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6195) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_56_5 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6161) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) ~ (all_52_6 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6197) implies:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) ~ (all_52_6 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6140), (6161) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) ~ (e2 = e1)
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6161) imply:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) op(e3, e2) = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_54_2 = e1
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (6163), (6201) are inconsistent by
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1191.
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6202) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6203) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6204) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) ~ (all_57_12 = e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) op(e2, e2) = all_57_12
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6127), (6205), (6206), (function-axioms) are
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6207) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6208) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) op(e3, e2) = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6200), (6209), (function-axioms) are
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6210) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) op(e3, e1) = e3
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6173), (6211), (function-axioms) are
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6212) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6213) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) op(e3, e1) = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6163), (6214), (function-axioms) are
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6215) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6216) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) op(e0, e0) = all_57_15
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) op(e0, e3) = e3
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6220) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) all_56_12 = e2 & op(e0, e3) = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6221) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) op(e0, e3) = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6166) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6169) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) ~ (all_52_11 = e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6223) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) ~ (all_52_11 = e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6225) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) all_56_6 = e1 & op(e1, e3) = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6226) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_56_6 = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_54_14 = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6228) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_52_11 = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6101), (6229) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) $false
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6230) is inconsistent.
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6231) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_54_14 = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6232) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_52_11 = e2
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6224), (6233) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) $false
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6234) is inconsistent.
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) ~ (all_54_14 = e2)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_54_14 = e3 | all_54_14 = e0
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6236) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) all_54_14 = e3
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6237) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_52_11 = e3
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6238) implies:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_52_11 = e3
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6239) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) ~ (all_52_9 = e3)
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_54_6 = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6241) imply:
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_52_9 = e1
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6242) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_52_9 = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6243) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) ~ (all_52_1 = e1)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_54_4 = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6245) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_52_1 = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6244), (6246) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) $false
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6247) is inconsistent.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) ~ (all_54_4 = e1)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6249) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_54_4 = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6250) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) all_52_1 = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6138), (6251) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) $false
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6252) is inconsistent.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) ~ (all_54_4 = e2)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_54_4 = e3 | all_54_4 = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6255) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_56_2 = e3 & op(e2, e3) = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6256) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) all_56_2 = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (224), (269), (4018), (5812), (6110),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127), (6138), (6158), (6196), (6218), (6222),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244), (6254), (6257), (function-axioms) are
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #724.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) all_56_3 = e3 & op(e2, e2) = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6258) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) op(e2, e2) = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6127), (6259), (function-axioms) are
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6260) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_56_5 = e3 & op(e2, e1) = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6261) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_56_5 = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6196), (6262) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) e3 = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6263) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) e3 = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6191), (6264) imply:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) all_56_7 = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (4025),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227), (6265), (function-axioms) are inconsistent
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #452.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_56_10 = e3 & op(e2, e0) = e3
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6183), (6266) are inconsistent by sub-proof
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1228.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4016), (6171), (6240), (6267) are
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) all_54_14 = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (4017), (6268) are inconsistent by
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_56_7 = e1 & op(e1, e2) = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6269) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) op(e1, e2) = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6198), (6270), (function-axioms) are
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (4025), (6103), (6271),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #539.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_54_2 = e3 | all_54_2 = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (4015), (6157), (6272) are inconsistent by
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) all_56_13 = e2 & op(e0, e2) = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6273) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) all_56_13 = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (6127), (6178), (6191),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274), (function-axioms) are inconsistent by
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6275) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) all_56_14 = e2 & op(e0, e1) = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6276) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_56_14 = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (4025), (6157),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196), (6277), (function-axioms) are inconsistent
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #575.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_56_15 = e2 & op(e0, e0) = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6278) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) op(e0, e0) = e2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6133), (6217), (6219), (6279), (function-axioms)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6280) implies:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) op(e0, e3) = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5813), (6281), (function-axioms) are
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6282) gives:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (165), (6145), (6171), (6198),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283), (function-axioms) are inconsistent by
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1404.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (6103), (6127), (6284),
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #948.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5814), (6140), (6156), (6285) are
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (4017), (4025), (6105), (6109), (6286),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #394.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) all_56_13 = e3 & op(e0, e2) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6287) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) all_56_13 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6132), (6288) are inconsistent by sub-proof
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_56_11 = e0 & op(e1, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6289) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) op(e1, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (6290), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6291) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_56_4 = e1 & op(e3, e1) = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6292) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) op(e3, e1) = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6173), (6293), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_56_9 = e1 & op(e3, e0) = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6294) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) all_56_9 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6110) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) all_56_9 = e0 & op(e3, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6296) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) op(e3, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6158), (6297), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6298) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_56_10 = e0 & op(e2, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6299) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) all_56_10 = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6301) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_56_4 = e1 & op(e3, e1) = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6302) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) op(e3, e1) = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6173), (6303), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_56_5 = e1 & op(e2, e1) = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6304) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_56_5 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6306) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_56_4 = e3 & op(e3, e1) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6307) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) op(e3, e1) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6173), (6308), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_56_5 = e3 & op(e2, e1) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6309) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_56_5 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6305), (6310) imply:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) e3 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6311) imply:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) $false
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6312) is inconsistent.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6313) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_56_8 = e3 & op(e1, e1) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6314) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) op(e1, e1) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4025), (6315), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_56_14 = e3 & op(e0, e1) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6316) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) all_56_14 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_56_9 = e3 & op(e3, e0) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6319) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_56_9 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6295), (6320) imply:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) e3 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6321) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) e3 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6317), (6322) imply:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_56_14 = e1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (4017), (6105), (6109), (6323),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #395.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_56_10 = e3 & op(e2, e0) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6324) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) all_56_10 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6300), (6325) are inconsistent by sub-proof
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6326) gives:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) all_56_11 = e3 & op(e1, e0) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6327) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_56_11 = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (211), (6105), (6295), (6300),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328), (function-axioms) are inconsistent by
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1027.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_56_15 = e3 & op(e0, e0) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6329) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) op(e0, e0) = e3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6105), (6330), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (4017), (4025), (6105), (6109), (6331),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #394.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_56_11 = e0 & op(e1, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6332) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) op(e1, e0) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4018), (6333), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_54_2 = e3 | all_54_2 = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (4015), (6157), (6334) are inconsistent by
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (5814), (6140), (6156), (6335) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | (6336) all_54_3 = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6137), (6336) imply:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | (6337) all_48_0 = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6144), (6337) imply:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | (6338) $false
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6338) is inconsistent.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | (6339) all_56_14 = e0 & op(e0, e1) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6339) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | (6340) op(e0, e1) = e0
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4017), (6340), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (6341) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.13/24.49 | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (160), (4017), (4025), (6103),
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | (6105), (6341), (function-axioms) are inconsistent
% 165.13/24.49 | | | | | | | | | | | | | | | | | | | by sub-proof #393.
% 165.13/24.49 | | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | (6342) ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 165.13/24.49 | | | | | | | | | | | | | | | | $i(all_48_1)
% 165.13/24.49 | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | ALPHA: (6342) implies:
% 165.13/24.49 | | | | | | | | | | | | | | | | (6343) ~ (all_48_1 = e1)
% 165.13/24.49 | | | | | | | | | | | | | | | | (6344) op(e0, e0) = all_48_1
% 165.13/24.49 | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | | REF_CLOSE: (6105), (6343), (6344), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 165.13/24.49 | | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | (6345) all_56_2 = e0 & op(e2, e3) = e0
% 165.13/24.49 | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | | REF_CLOSE: (167), (5812), (6345), (function-axioms) are
% 165.13/24.49 | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 165.13/24.49 | | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | (6346) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 165.13/24.49 | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 165.13/24.49 | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | | REF_CLOSE: (159), (163), (4013), (5813), (6346),
% 165.13/24.49 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.49 | | | | | | | | | | | #392.
% 165.13/24.49 | | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | | |
% 165.13/24.49 | | | | | | | | | End of split
% 165.13/24.49 | | | | | | | | |
% 165.13/24.49 | | | | | | | | End of split
% 165.13/24.49 | | | | | | | |
% 165.13/24.49 | | | | | | | Case 2:
% 165.13/24.49 | | | | | | | |
% 165.13/24.49 | | | | | | | | (6347) all_56_11 = e0 & op(e1, e0) = e0
% 165.13/24.49 | | | | | | | |
% 165.13/24.49 | | | | | | | | ALPHA: (6347) implies:
% 165.13/24.49 | | | | | | | | (6348) op(e1, e0) = e0
% 165.13/24.49 | | | | | | | |
% 165.13/24.49 | | | | | | | | REF_CLOSE: (160), (4018), (6348), (function-axioms) are
% 165.13/24.49 | | | | | | | | inconsistent by sub-proof #1272.
% 165.13/24.49 | | | | | | | |
% 165.13/24.49 | | | | | | | End of split
% 165.13/24.49 | | | | | | |
% 165.13/24.49 | | | | | | End of split
% 165.13/24.49 | | | | | |
% 165.13/24.49 | | | | | End of split
% 165.13/24.49 | | | | |
% 165.13/24.49 | | | | Case 2:
% 165.13/24.49 | | | | |
% 165.13/24.49 | | | | | (6349) all_12_2 = e3
% 165.13/24.50 | | | | | (6350) ( ~ (all_12_0 = e0) & op(e2, e3) = all_12_0 & $i(all_12_0))
% 165.13/24.50 | | | | | | ( ~ (all_12_1 = e1) & op(e3, e3) = all_12_1 &
% 165.13/24.50 | | | | | $i(all_12_1))
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | COMBINE_EQS: (320), (6349) imply:
% 165.13/24.50 | | | | | (6351) all_10_2 = e3
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | COMBINE_EQS: (298), (6351) imply:
% 165.13/24.50 | | | | | (6352) all_46_2 = e3
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | REDUCE: (347), (6351) imply:
% 165.13/24.50 | | | | | (6353) ~ (all_52_1 = e3)
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | REDUCE: (350), (6351) imply:
% 165.13/24.50 | | | | | (6354) ~ (all_52_4 = e3)
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | REDUCE: (352), (6351) imply:
% 165.13/24.50 | | | | | (6355) ~ (all_52_6 = e3)
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | REDUCE: (354), (6351) imply:
% 165.13/24.50 | | | | | (6356) ~ (all_52_7 = e3)
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | REDUCE: (356), (6351) imply:
% 165.13/24.50 | | | | | (6357) ~ (all_52_9 = e3)
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | REDUCE: (358), (6351) imply:
% 165.13/24.50 | | | | | (6358) ~ (all_52_13 = e3)
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | BETA: splitting (228) gives:
% 165.13/24.50 | | | | |
% 165.13/24.50 | | | | | Case 1:
% 165.13/24.50 | | | | | |
% 165.13/24.50 | | | | | | (6359) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 165.13/24.50 | | | | | | op(e2, e2) = e3)
% 165.13/24.50 | | | | | |
% 165.13/24.50 | | | | | | BETA: splitting (6359) gives:
% 165.13/24.50 | | | | | |
% 165.13/24.50 | | | | | | Case 1:
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | (6360) all_56_1 = e3 & op(e3, e2) = e3
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | ALPHA: (6360) implies:
% 165.13/24.50 | | | | | | | (6361) op(e3, e2) = e3
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | REF_CLOSE: (170), (6354), (6361), (function-axioms) are
% 165.13/24.50 | | | | | | | inconsistent by sub-proof #1398.
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | Case 2:
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | (6362) all_56_3 = e3 & op(e2, e2) = e3
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | ALPHA: (6362) implies:
% 165.13/24.50 | | | | | | | (6363) all_56_3 = e3
% 165.13/24.50 | | | | | | | (6364) op(e2, e2) = e3
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | BETA: splitting (52) gives:
% 165.13/24.50 | | | | | | |
% 165.13/24.50 | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | |
% 165.13/24.50 | | | | | | | | (6365) ~ (all_14_2 = e0)
% 165.13/24.50 | | | | | | | |
% 165.13/24.50 | | | | | | | | BETA: splitting (58) gives:
% 165.13/24.50 | | | | | | | |
% 165.13/24.50 | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | |
% 165.13/24.50 | | | | | | | | | (6366) ~ (all_18_2 = e0)
% 165.13/24.50 | | | | | | | | |
% 165.13/24.50 | | | | | | | | | REDUCE: (327), (6366) imply:
% 165.13/24.50 | | | | | | | | | (6367) ~ (all_4_2 = e0)
% 165.13/24.50 | | | | | | | | |
% 165.13/24.50 | | | | | | | | | BETA: splitting (61) gives:
% 165.13/24.50 | | | | | | | | |
% 165.13/24.50 | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | (6368) ~ (all_20_2 = e1)
% 165.13/24.50 | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | REDUCE: (300), (6368) imply:
% 165.13/24.50 | | | | | | | | | | (6369) ~ (all_4_2 = e1)
% 165.13/24.50 | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | BETA: splitting (204) gives:
% 165.13/24.50 | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | (6370) all_54_0 = e1
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | COMBINE_EQS: (279), (6370) imply:
% 165.13/24.50 | | | | | | | | | | | (6371) all_4_2 = e1
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | REDUCE: (6369), (6371) imply:
% 165.13/24.50 | | | | | | | | | | | (6372) $false
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | CLOSE: (6372) is inconsistent.
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | (6373) ~ (all_54_0 = e1)
% 165.13/24.50 | | | | | | | | | | | (6374) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | BETA: splitting (6374) gives:
% 165.13/24.50 | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | (6375) all_54_0 = e2
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | COMBINE_EQS: (279), (6375) imply:
% 165.13/24.50 | | | | | | | | | | | | (6376) all_4_2 = e2
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | REDUCE: (371), (6376) imply:
% 165.13/24.50 | | | | | | | | | | | | (6377) $false
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | CLOSE: (6377) is inconsistent.
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | (6378) ~ (all_54_0 = e2)
% 165.13/24.50 | | | | | | | | | | | | (6379) all_54_0 = e3 | all_54_0 = e0
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | BETA: splitting (6379) gives:
% 165.13/24.50 | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | (6380) all_54_0 = e3
% 165.13/24.50 | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | COMBINE_EQS: (279), (6380) imply:
% 165.13/24.50 | | | | | | | | | | | | | (6381) all_4_2 = e3
% 165.13/24.50 | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | REDUCE: (340), (6381) imply:
% 165.13/24.50 | | | | | | | | | | | | | (6382) ~ (all_52_3 = e3)
% 165.13/24.50 | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | REDUCE: (36), (6381) imply:
% 165.13/24.50 | | | | | | | | | | | | | (6383) op(e3, e3) = e3
% 165.13/24.50 | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | BETA: splitting (212) gives:
% 165.13/24.50 | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | (6384) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 165.13/24.50 | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.13/24.50 | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (230), (232),
% 165.13/24.50 | | | | | | | | | | | | | | (234), (6358), (6383), (6384), (function-axioms)
% 165.13/24.50 | | | | | | | | | | | | | | are inconsistent by sub-proof #390.
% 165.13/24.50 | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | (6385) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 165.13/24.50 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.13/24.50 | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | BETA: splitting (6385) gives:
% 165.13/24.50 | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | (6386) all_56_11 = e3 & op(e1, e0) = e3
% 165.13/24.50 | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | ALPHA: (6386) implies:
% 165.13/24.50 | | | | | | | | | | | | | | | (6387) op(e1, e0) = e3
% 165.13/24.50 | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.13/24.50 | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | (6388) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.13/24.50 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | BETA: splitting (6388) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6389) all_56_12 = e3 & op(e0, e3) = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | ALPHA: (6389) implies:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6390) op(e0, e3) = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 165.13/24.50 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6390) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6391) all_52_3 = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | REDUCE: (6382), (6391) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6392) $false
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | CLOSE: (6392) is inconsistent.
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6393) all_56_13 = e3 & op(e0, e2) = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (6393), (function-axioms) are
% 165.13/24.50 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | End of split
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | (6394) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.13/24.50 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | BETA: splitting (6394) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6395) all_56_14 = e3 & op(e0, e1) = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | ALPHA: (6395) implies:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6396) all_56_14 = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6397) op(e0, e1) = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 165.13/24.50 | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (6397) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6398) all_52_11 = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 165.13/24.50 | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (6387) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6399) all_52_14 = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | REDUCE: (141), (6399) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6400) ~ (all_52_2 = e3)
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | REDUCE: (366), (6399) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6401) ~ (all_14_2 = e3)
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | SIMP: (6401) implies:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6402) ~ (all_14_2 = e3)
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | REDUCE: (370), (6399) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | (6403) ~ (all_6_2 = e3)
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | (6404) ~ (all_22_2 = e1)
% 165.13/24.50 | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | REDUCE: (310), (6404) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | (6405) ~ (all_6_2 = e1)
% 165.13/24.50 | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | (6406) ~ (all_24_2 = e2)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | REDUCE: (322), (6406) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | (6407) ~ (all_14_2 = e2)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6408) all_54_10 = e1
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (6408) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6409) all_14_2 = e1
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | SIMP: (6409) implies:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6410) all_14_2 = e1
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6410) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6411) ~ (all_52_6 = e1)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (6410) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6412) ~ (all_52_8 = e1)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (6410) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6413) ~ (all_52_9 = e1)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (6402), (6410) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6414) ~ (e3 = e1)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6410) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | (6415) op(e1, e1) = e1
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | (6416) ~ (all_32_2 = e2)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (6416) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | (6417) ~ (all_6_2 = e2)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | (6418) all_54_15 = e1
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6418) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | (6419) all_6_2 = e1
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6405), (6419) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | (6420) $false
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6420) is inconsistent.
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | (6421) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6421) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | (6422) all_54_15 = e2
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6422) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | (6423) all_6_2 = e2
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6417), (6423) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | (6424) $false
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6424) is inconsistent.
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | (6425) all_54_15 = e3 | all_54_15 = e0
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6425) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6426) all_54_15 = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6426) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6427) all_6_2 = e3
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (6427) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6428) $false
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6428) is inconsistent.
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6429) all_54_15 = e0
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6429) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6430) all_6_2 = e0
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6430) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6431) ~ (all_52_3 = e0)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6430) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6432) ~ (all_52_7 = e0)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (6430) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6433) ~ (e3 = e0)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6430) imply:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | (6434) op(e0, e0) = e0
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (6435) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6435) gives:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (6354), (6383), (6400), (6436),
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (6382), (6412), (6431), (6437),
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #386.
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (6438) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6438) gives:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6411), (6415), (6434), (6439),
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #903.
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6440) gives:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6441) implies:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) op(e0, e2) = e0
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6432), (6442), (function-axioms) are
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6443) gives:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6444) implies:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) ~ (all_57_15 = e0)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) op(e0, e0) = all_57_15
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6434), (6445), (6446), (function-axioms) are
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6447) implies:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) op(e1, e0) = e0
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (6387), (6448), (function-axioms) are
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | (6449) all_32_2 = e2
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (6449) imply:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | (6450) all_6_2 = e2
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (6450) imply:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | (6451) all_36_2 = e2
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (6450) imply:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | (6452) ~ (all_52_13 = e2)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6450) imply:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | (6453) op(e0, e0) = e2
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | (6454) ~ (all_36_2 = e2)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6451), (6454) imply:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | (6455) $false
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6455) is inconsistent.
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | (6456) ( ~ (all_36_0 = e1) & op(e0, e2) = all_36_0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e2, e2)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6456) gives:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | (6457) ~ (all_36_0 = e1) & op(e0, e2) = all_36_0 &
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6457) implies:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | (6458) ~ (all_36_0 = e1)
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | (6459) op(e0, e2) = all_36_0
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (6460) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6460) gives:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6461) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (6354), (6383), (6400), (6461),
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6462) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (6382), (6383), (6412), (6462),
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | #384.
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (6463) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6463) gives:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6464) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (6411), (6415), (6452), (6464),
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | #705.
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (6465) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6465) gives:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6466) implies:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) op(e2, e0) = e0
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (117), (145), (146), (148), (159),
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (192), (198), (200), (207), (249), (261),
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (6353), (6357), (6396), (6413), (6453),
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6458), (6459), (6467), (function-axioms) are
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #380.
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (6387), (6468), (function-axioms)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #378.
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | (6469) ~ (all_36_1 = e3) & op(e2, e2) = all_36_1 &
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6469) implies:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | (6470) ~ (all_36_1 = e3)
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | (6471) op(e2, e2) = all_36_1
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (6472) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6472) gives:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (6473) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (6354), (6383), (6400), (6473),
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (6474) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (6382), (6383), (6412), (6474),
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | #384.
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (6475) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6475) gives:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (6476) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (6411), (6415), (6452), (6476),
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | #705.
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (6477) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6477) gives:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6478) implies:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) op(e2, e2) = all_57_12
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (6470), (6471), (6479), (function-axioms)
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #377.
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6480) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6481) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) op(e1, e0) = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e0,
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (6387), (6482) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) e3 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6483) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) $false
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6484) is inconsistent.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6485) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) op(e1, e0) = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (6387), (6486), (function-axioms) are
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | (6487) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (6365), (6402), (6407), (6487) are
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6488) all_24_2 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (6488) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6489) all_14_2 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | SIMP: (6489) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6490) all_14_2 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (6490) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6491) all_44_2 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (6490) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6492) ~ (all_52_2 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6490) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6493) ~ (all_52_6 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | REDUCE: (6402), (6490) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | (6494) ~ (e3 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | (6495) ~ (all_44_2 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (6491), (6495) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | (6496) $false
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | CLOSE: (6496) is inconsistent.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | (6497) ( ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e2, e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6497) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6498) ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6498) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6499) ~ (all_44_0 = e0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6500) op(e1, e2) = all_44_0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | all_44_0, e2, e1, simplifying with (162), (6500)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6501) all_52_6 = all_44_0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (6501) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6502) all_54_9 = all_44_0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6501) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6503) ~ (all_52_2 = all_44_0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6501) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6504) ~ (all_52_7 = all_44_0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (6504) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6505) ~ (all_52_7 = all_44_0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6355), (6501) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6506) ~ (all_44_0 = e3)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6493), (6501) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | (6507) ~ (all_44_0 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6508) all_54_9 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6502), (6508) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6509) all_44_0 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6509) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6510) all_44_0 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6503), (6510) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6511) ~ (all_52_2 = e1)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6505), (6510) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6512) ~ (all_52_7 = e1)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6506), (6510) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6513) ~ (e3 = e1)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6507), (6510) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6514) ~ (e2 = e1)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6510) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | (6515) op(e1, e2) = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | (6516) all_54_8 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6516) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | (6517) all_52_2 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6511), (6517) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | (6518) $false
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6518) is inconsistent.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | (6519) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6519) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_54_8 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6520) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_52_2 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6492), (6521) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | (6522) $false
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6522) is inconsistent.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | (6523) ~ (all_54_8 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_54_8 = e3 | all_54_8 = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6524) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_54_8 = e3
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6525) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_52_2 = e3
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6400), (6526) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6527) $false
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6527) is inconsistent.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_54_8 = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6528) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_52_2 = e0
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6529) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6530) ~ (all_52_3 = e0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6530) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | (6531) ~ (all_52_3 = e0)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6532) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) all_56_12 = e1 & op(e0, e3) = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6533) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_56_12 = e1
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6535) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_56_0 = e2 & op(e3, e3) = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6536) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) op(e3, e3) = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6383), (6537), (function-axioms) are
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1395.
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_56_2 = e2 & op(e2, e3) = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6538) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) op(e2, e3) = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6539) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_52_1 = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6540) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) ~ (all_52_9 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6541) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) ~ (all_52_9 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6540) imply:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) ~ (all_52_13 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6543) implies:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) ~ (all_52_13 = e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.13/24.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6545) gives:
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (6354), (6383), (6400), (6546),
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6382), (6383), (6531), (6547),
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #376.
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.13/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6548) gives:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6549) gives:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6550) implies:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) op(e2, e1) = e2
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6542), (6551), (function-axioms) are
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6552) gives:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6553) implies:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) op(e2, e2) = all_57_12
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_0 & $i(all_57_0))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (6539), (6554), (6555), (function-axioms)
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #375.
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) op(e2, e0) = e2
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6544), (6557), (function-axioms) are
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6558) gives:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6559) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) op(e2, e2) = all_57_12
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_0 & $i(all_57_0))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (6539), (6560), (6561), (function-axioms)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #375.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6562) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6563) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) op(e1, e0) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (193), (250), (6515), (6564),
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6565) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) op(e1, e0) = e0
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (259), (6400), (6524), (6566),
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #980.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (6492), (6534), (6567),
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1058.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) all_56_13 = e1 & op(e0, e2) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6512), (6568), (function-axioms) are
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6569) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_56_14 = e1 & op(e0, e1) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6396), (6570) are inconsistent by sub-proof
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1026.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_56_15 = e1 & op(e0, e0) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (6405), (6571), (function-axioms) are
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | (6572) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6499), (6502), (6506), (6507), (6572) are
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6573) ~ (all_44_1 = e3) & op(e2, e2) = all_44_1 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6573) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6574) ~ (all_44_1 = e3)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6575) op(e2, e2) = all_44_1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_44_1,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6364), (6575) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6576) all_44_1 = e3
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6574), (6576) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6577) $false
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6577) is inconsistent.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | (6578) all_22_2 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (6578) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | (6579) all_6_2 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (6579) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | (6580) all_38_2 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | REDUCE: (349), (6579) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | (6581) ~ (all_52_3 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | REDUCE: (39), (6579) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | (6582) op(e0, e0) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | (6583) ~ (all_38_2 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | REDUCE: (6580), (6583) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | (6584) $false
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | CLOSE: (6584) is inconsistent.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | (6585) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (6585) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6586) ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (6586) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6587) ~ (all_38_0 = e3)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6588) op(e0, e1) = all_38_0
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_0,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (6397), (6588) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6589) all_38_0 = e3
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (6587), (6589) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6590) $false
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | CLOSE: (6590) is inconsistent.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6591) ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (6591) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6592) ~ (all_38_1 = e2)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6593) op(e1, e1) = all_38_1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e1, simplifying with (51), (6593)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6594) all_38_1 = all_14_2
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (6592), (6594) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | (6595) ~ (all_14_2 = e2)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6596) all_54_10 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (6596) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6597) all_14_2 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | SIMP: (6597) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6598) all_14_2 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (6598) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6599) ~ (all_52_2 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6598) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6600) ~ (all_52_6 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6402), (6598) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6601) ~ (e3 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6595), (6598) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6602) ~ (e2 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6598) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | (6603) op(e1, e1) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | (6604) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6604) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | (6605) all_56_0 = e1 & op(e3, e3) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6605) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | (6606) op(e3, e3) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6383), (6606), (function-axioms) are
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | (6607) all_56_2 = e1 & op(e2, e3) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6607) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | (6608) op(e2, e3) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | (6609) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6609) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6610) all_56_1 = e1 & op(e3, e2) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6610) implies:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6611) op(e3, e2) = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6608) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6612) all_52_1 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (6611) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6613) all_52_4 = e1
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6613) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | (6614) ~ (all_52_6 = e1)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) ~ (all_46_2 = e3)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6352), (6615) imply:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) $false
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6616) is inconsistent.
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) ( ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e3, e3)
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6618) gives:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6603), (6608), (6611), (6619),
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #372.
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6620) gives:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6621) implies:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) op(e1, e2) = e1
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6600), (6622), (function-axioms) are
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (373), (6383), (6623),
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #371.
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6624) gives:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (6364), (6383), (6608), (6625),
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #368.
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6626) gives:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6627) implies:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) op(e2, e2) = e2
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (6628), (function-axioms) are
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6629) gives:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6630) implies:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6397), (6582), (6631), (function-axioms) are
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #366.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6632) implies:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) op(e0, e0) = all_57_15
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (6364), (6383), (6387), (6397),
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582), (6608), (6617), (6633), (6634),
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #363.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6635) all_56_3 = e1 & op(e2, e2) = e1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6635) implies:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6636) op(e2, e2) = e1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (6636), (function-axioms) are
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | (6637) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6637) gives:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6638) all_56_7 = e1 & op(e1, e2) = e1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6638) implies:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6639) op(e1, e2) = e1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6600), (6639), (function-axioms) are
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6640) all_56_13 = e1 & op(e0, e2) = e1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6640) implies:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6641) all_56_13 = e1
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (6396),
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6582), (6641), (function-axioms) are inconsistent
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #967.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | (6642) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (6581), (6599), (6642),
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | | #957.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | (6643) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (6365), (6402), (6595), (6643) are
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | (6644) all_56_15 = e3 & op(e0, e0) = e3
% 165.47/24.58 | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (6644), (function-axioms) are
% 165.47/24.58 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.47/24.58 | | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | (6645) all_56_15 = e3 & op(e0, e0) = e3
% 165.47/24.58 | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (6645), (function-axioms) are
% 165.47/24.58 | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.47/24.58 | | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | (6646) all_54_0 = e0
% 165.47/24.58 | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | COMBINE_EQS: (279), (6646) imply:
% 165.47/24.58 | | | | | | | | | | | | | (6647) all_4_2 = e0
% 165.47/24.58 | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | REDUCE: (6367), (6647) imply:
% 165.47/24.58 | | | | | | | | | | | | | (6648) $false
% 165.47/24.58 | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | | CLOSE: (6648) is inconsistent.
% 165.47/24.58 | | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | End of split
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | Case 2:
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | (6649) all_20_2 = e1
% 165.47/24.58 | | | | | | | | | | (6650) ( ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 165.47/24.58 | | | | | | | | | | $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e1, e1)
% 165.47/24.58 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | COMBINE_EQS: (300), (6649) imply:
% 165.47/24.58 | | | | | | | | | | (6651) all_4_2 = e1
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | SIMP: (6651) implies:
% 165.47/24.58 | | | | | | | | | | (6652) all_4_2 = e1
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (336), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6653) ~ (all_52_1 = e1)
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (338), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6654) ~ (all_52_2 = e1)
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (340), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6655) ~ (all_52_3 = e1)
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (342), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6656) ~ (all_52_4 = e1)
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (344), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6657) ~ (all_52_8 = e1)
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (346), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6658) ~ (all_52_12 = e1)
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | REDUCE: (36), (6652) imply:
% 165.47/24.58 | | | | | | | | | | (6659) op(e3, e3) = e1
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | BETA: splitting (6350) gives:
% 165.47/24.58 | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | Case 1:
% 165.47/24.58 | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | (6660) ~ (all_12_0 = e0) & op(e2, e3) = all_12_0 &
% 165.47/24.58 | | | | | | | | | | | $i(all_12_0)
% 165.47/24.58 | | | | | | | | | | |
% 165.47/24.58 | | | | | | | | | | | ALPHA: (6660) implies:
% 165.47/24.59 | | | | | | | | | | | (6661) ~ (all_12_0 = e0)
% 165.47/24.59 | | | | | | | | | | | (6662) op(e2, e3) = all_12_0
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 165.47/24.59 | | | | | | | | | | | all_12_0, e3, e2, simplifying with (167), (6662)
% 165.47/24.59 | | | | | | | | | | | gives:
% 165.47/24.59 | | | | | | | | | | | (6663) all_52_1 = all_12_0
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | COMBINE_EQS: (269), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6664) all_54_4 = all_12_0
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | REDUCE: (149), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6665) ~ (all_52_2 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | SIMP: (6665) implies:
% 165.47/24.59 | | | | | | | | | | | (6666) ~ (all_52_2 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | REDUCE: (148), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6667) ~ (all_52_3 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | SIMP: (6667) implies:
% 165.47/24.59 | | | | | | | | | | | (6668) ~ (all_52_3 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | REDUCE: (146), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6669) ~ (all_52_9 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | SIMP: (6669) implies:
% 165.47/24.59 | | | | | | | | | | | (6670) ~ (all_52_9 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | REDUCE: (145), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6671) ~ (all_52_13 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | SIMP: (6671) implies:
% 165.47/24.59 | | | | | | | | | | | (6672) ~ (all_52_13 = all_12_0)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | REDUCE: (6353), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6673) ~ (all_12_0 = e3)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | REDUCE: (6653), (6663) imply:
% 165.47/24.59 | | | | | | | | | | | (6674) ~ (all_12_0 = e1)
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | BETA: splitting (200) gives:
% 165.47/24.59 | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | (6675) all_54_4 = e1
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | COMBINE_EQS: (6664), (6675) imply:
% 165.47/24.59 | | | | | | | | | | | | (6676) all_12_0 = e1
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | REDUCE: (6674), (6676) imply:
% 165.47/24.59 | | | | | | | | | | | | (6677) $false
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | CLOSE: (6677) is inconsistent.
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | (6678) ~ (all_54_4 = e1)
% 165.47/24.59 | | | | | | | | | | | | (6679) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | BETA: splitting (6679) gives:
% 165.47/24.59 | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | (6680) all_54_4 = e2
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | COMBINE_EQS: (6664), (6680) imply:
% 165.47/24.59 | | | | | | | | | | | | | (6681) all_12_0 = e2
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | REDUCE: (6666), (6681) imply:
% 165.47/24.59 | | | | | | | | | | | | | (6682) ~ (all_52_2 = e2)
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | REDUCE: (6668), (6681) imply:
% 165.47/24.59 | | | | | | | | | | | | | (6683) ~ (all_52_3 = e2)
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | REDUCE: (6670), (6681) imply:
% 165.47/24.59 | | | | | | | | | | | | | (6684) ~ (all_52_9 = e2)
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | REDUCE: (6672), (6681) imply:
% 165.47/24.59 | | | | | | | | | | | | | (6685) ~ (all_52_13 = e2)
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | REDUCE: (6673), (6681) imply:
% 165.47/24.59 | | | | | | | | | | | | | (6686) ~ (e3 = e2)
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | BETA: splitting (223) gives:
% 165.47/24.59 | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | (6687) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 165.47/24.59 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 165.47/24.59 | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | BETA: splitting (6687) gives:
% 165.47/24.59 | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | (6688) all_56_2 = e2 & op(e2, e3) = e2
% 165.47/24.59 | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | ALPHA: (6688) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | (6689) all_56_2 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | (6690) op(e2, e3) = e2
% 165.47/24.59 | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 165.47/24.59 | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | (6691) ~ (all_22_2 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | REDUCE: (310), (6691) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | (6692) ~ (all_6_2 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | (6693) ~ (all_24_2 = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | REDUCE: (322), (6693) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | (6694) ~ (all_14_2 = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | (6695) ~ (all_26_2 = e3)
% 165.47/24.59 | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | REDUCE: (303), (6695) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | (6696) ~ (all_14_2 = e3)
% 165.47/24.59 | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6697) all_54_10 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (6697) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6698) all_14_2 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | SIMP: (6698) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6699) all_14_2 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (6699) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6700) ~ (all_52_9 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | REDUCE: (364), (6699) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6701) ~ (all_52_11 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | REDUCE: (366), (6699) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6702) ~ (all_52_14 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | REDUCE: (6694), (6699) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6703) ~ (e2 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6699) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | (6704) op(e1, e1) = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | (6705) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6705) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | (6706) all_56_9 = e1 & op(e3, e0) = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6658), (6706), (function-axioms) are
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | (6707) all_56_10 = e1 & op(e2, e0) = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6707) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | (6708) all_56_10 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | (6709) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6709) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | (6710) all_56_12 = e1 & op(e0, e3) = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6655), (6710), (function-axioms) are
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | (6711) all_56_13 = e1 & op(e0, e2) = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6711) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | (6712) all_56_13 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | (6713) op(e0, e2) = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | (6714) all_54_6 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6714) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_52_9 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6700), (6715) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | (6716) $false
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6716) is inconsistent.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | (6717) ~ (all_54_6 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | (6718) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6718) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_54_6 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6719) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_52_9 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6684), (6720) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6721) $false
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6721) is inconsistent.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6722) ~ (all_54_6 = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6723) all_54_6 = e3 | all_54_6 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6723) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_54_6 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6724) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_52_9 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6357), (6725) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) $false
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6726) is inconsistent.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) all_54_6 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6727) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_52_9 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6728) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) ~ (all_52_8 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6728) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) ~ (all_52_11 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6730) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) ~ (all_52_11 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6357), (6728) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) ~ (e3 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6684), (6728) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) ~ (e2 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6700), (6728) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) ~ (e1 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6713) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_52_7 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6735) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) ~ (all_52_6 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6735) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) ~ (all_52_11 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6735) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) ~ (all_6_2 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6356), (6735) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) ~ (e3 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) ~ (all_36_2 = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (6740) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) ~ (all_6_2 = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6742) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) all_56_12 = e2 & op(e0, e3) = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6743) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) op(e0, e3) = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_54_15 = e1
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6692), (6745) are inconsistent by
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) ~ (all_54_15 = e1)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6747) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_54_15 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6741), (6748) are inconsistent by
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) ~ (all_54_15 = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_54_15 = e3 | all_54_15 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6750) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) all_54_15 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (6751) are inconsistent by sub-proof
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_54_15 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6752) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_6_2 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6753) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) all_6_2 = e0
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6754) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) ~ (all_52_3 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (6754) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) ~ (all_52_12 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (6754) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) ~ (all_52_14 = e0)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6758) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) all_56_4 = e2 & op(e3, e1) = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6759) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_56_4 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) op(e3, e1) = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (6354), (6659), (6762),
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6763) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) all_56_4 = e3 & op(e3, e1) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6764) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) op(e3, e1) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6761), (6765), (function-axioms) are
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_56_9 = e3 & op(e3, e0) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6766) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_56_9 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6768) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) all_56_0 = e3 & op(e3, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6769) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) op(e3, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767), (6770), (function-axioms) are inconsistent
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1295.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_56_2 = e3 & op(e2, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6771) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_56_2 = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6689), (6772) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) e3 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6773) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) e3 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6767), (6774) imply:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_56_9 = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (6659),
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760), (6761), (6775), (function-axioms) are
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #854.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6776) gives:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_56_6 = e3 & op(e1, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6777) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) op(e1, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (192), (249), (6655), (6683),
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755), (6778), (function-axioms) are inconsistent
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #804.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_56_12 = e3 & op(e0, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6779) implies:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) op(e0, e3) = e3
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6744), (6780), (function-axioms) are
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) all_56_5 = e2 & op(e2, e1) = e2
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6781) implies:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) op(e2, e1) = e2
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6684), (6782), (function-axioms) are
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6783) gives:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) all_56_8 = e2 & op(e1, e1) = e2
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (162), (163), (214), (6654), (6702),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736), (6784), (function-axioms) are inconsistent
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #888.
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_56_14 = e2 & op(e0, e1) = e2
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_56_14 = e2
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (144), (145), (157),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (164), (165), (167), (168),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (192), (220), (221), (223), (230),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (249), (6354), (6363), (6364),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655), (6657), (6659), (6683), (6684), (6685),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689), (6690), (6701), (6704), (6708), (6729),
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755), (6756), (6757), (6786), (function-axioms)
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #353.
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) all_56_13 = e2 & op(e0, e2) = e2
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6712), (6787) are inconsistent by sub-proof
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #970.
% 165.47/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6788) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_56_14 = e2 & op(e0, e1) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6789) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_56_14 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_54_15 = e1
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6692), (6791) are inconsistent by
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) ~ (all_54_15 = e1)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6793) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_54_15 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6741), (6794) are inconsistent by
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) ~ (all_54_15 = e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) all_54_15 = e3 | all_54_15 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6796) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_54_15 = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (6797) are inconsistent by sub-proof
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_54_15 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6798) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_6_2 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6799) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) all_6_2 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6800) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) ~ (all_52_3 = e0)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (6800) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) ~ (all_52_12 = e0)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (6800) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) ~ (all_52_14 = e0)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (144), (145), (157),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (164), (165), (167), (168),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (192), (220), (221), (223), (230),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (249), (6354), (6363), (6364),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655), (6657), (6659), (6683), (6684), (6685),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689), (6690), (6701), (6704), (6708), (6729),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790), (6801), (6802), (6803), (function-axioms)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #353.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_56_15 = e2 & op(e0, e0) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6804) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) op(e0, e0) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) all_54_15 = e1
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6692), (6806) are inconsistent by
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6807) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) all_54_15 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (6741), (6808) are inconsistent by
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) ~ (all_54_15 = e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) all_54_15 = e3 | all_54_15 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (6741), (6805), (6810),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #352.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_36_2 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) ( ~ (all_36_0 = e1) & op(e0, e2) = all_36_0 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e2, e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (6811) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_6_2 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6813) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) all_6_2 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (6814) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) ~ (all_52_11 = e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6814) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) op(e0, e0) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6817) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) all_56_4 = e2 & op(e3, e1) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6818) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) op(e3, e1) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (6354), (6659), (6820),
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6821) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) all_56_4 = e3 & op(e3, e1) = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6822) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) op(e3, e1) = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6819), (6823), (function-axioms) are
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) all_56_9 = e3 & op(e3, e0) = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6824) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) op(e3, e0) = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) all_54_14 = e1
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6701), (6826) are inconsistent by
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) ~ (all_54_14 = e1)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6828) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) all_54_14 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6815), (6829) are inconsistent by
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) all_54_14 = e3 | all_54_14 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6812) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) ~ (all_36_0 = e1) & op(e0, e2) = all_36_0 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6831) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) ~ (all_36_0 = e1)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) op(e0, e2) = all_36_0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6713), (6832), (6833), (function-axioms) are
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #382.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) ~ (all_36_1 = e3) & op(e2, e2) = all_36_1 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6834) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) ~ (all_36_1 = e3)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) op(e2, e2) = all_36_1
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6830) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) all_54_14 = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6837) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) all_52_11 = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6838) implies:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) all_52_11 = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6839) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) ~ (all_52_3 = e3)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6839) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) ~ (all_52_8 = e3)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (6839) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) op(e0, e1) = e3
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_54_2 = e1
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6843) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) all_52_8 = e1
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6657), (6844) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) $false
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6845) is inconsistent.
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) ~ (all_54_2 = e1)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6847) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) all_54_2 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6848) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_52_8 = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6849) imply:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) ~ (all_52_4 = e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6851) gives:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6852) gives:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6853) implies:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) op(e2, e2) = all_57_12
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (6835), (6836), (6854), (function-axioms)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #377.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6855) gives:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6856) implies:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) op(e3, e2) = e2
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6850), (6857), (function-axioms) are
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6858) implies:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) ~ (all_57_14 = e1)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) op(e1, e1) = all_57_14
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6704), (6859), (6860), (function-axioms) are
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6861) gives:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6862) implies:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) op(e3, e1) = e1
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6819), (6863), (function-axioms) are
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (6825), (6840), (6864),
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #351.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6865) gives:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6364), (6685), (6690), (6704), (6866),
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #357.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (6364), (6690), (6701), (6842),
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867), (function-axioms) are inconsistent by
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #349.
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_54_2 = e3 | all_54_2 = e0
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (6729), (6841), (6868) are inconsistent by
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) all_54_14 = e0
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6731), (6869) are inconsistent by
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) all_56_5 = e2 & op(e2, e1) = e2
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6870) implies:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) op(e2, e1) = e2
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6684), (6871), (function-axioms) are
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (163),
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (214), (6654), (6702), (6712),
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713), (6736), (6816), (6872), (function-axioms)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #842.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (6873) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (6692), (6701), (6873),
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | #740.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | (6874) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (6692), (6702), (6874),
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | #838.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | (6875) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (6365), (6694), (6696), (6875) are
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6876) all_26_2 = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (6876) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6877) all_14_2 = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | SIMP: (6877) implies:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6878) all_14_2 = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | REDUCE: (348), (6878) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6879) ~ (all_52_2 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | REDUCE: (361), (6878) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6880) ~ (all_52_8 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | REDUCE: (364), (6878) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6881) ~ (all_52_11 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | REDUCE: (366), (6878) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6882) ~ (all_52_14 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | REDUCE: (51), (6878) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | (6883) op(e1, e1) = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | (6884) all_54_8 = e1
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6884) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | (6885) all_52_2 = e1
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | REDUCE: (6654), (6885) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | (6886) $false
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | CLOSE: (6886) is inconsistent.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | (6887) ~ (all_54_8 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | (6888) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | (6889) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6889) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | (6890) all_56_12 = e3 & op(e0, e3) = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6890) implies:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | (6891) all_56_12 = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6888) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (6892) all_54_8 = e2
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6892) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (6893) all_52_2 = e2
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6682), (6893) imply:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (6894) $false
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6894) is inconsistent.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (6895) ~ (all_54_8 = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | (6896) all_54_8 = e3 | all_54_8 = e0
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | (6897) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6897) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (6898) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (6354), (6654), (6883), (6898),
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | #348.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | (6899) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6899) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (6900) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6900) implies:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (6901) op(e1, e1) = e2
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6883), (6901), (function-axioms) are
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | (6902) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6902) gives:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6903) implies:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) op(e3, e1) = e3
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6880), (6904), (function-axioms) are
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6905) implies:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) op(e2, e2) = e1
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (6906), (function-axioms) are
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.62 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (6907) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6907) gives:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (6908) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6908) gives:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6909) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6909) implies:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6910) op(e3, e3) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6659), (6910), (function-axioms) are
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6911) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6911) gives:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6912) implies:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) op(e3, e3) = e3
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (6654), (6891), (6913), (function-axioms)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #997.
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6914) implies:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) op(e2, e2) = e0
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6364), (6915), (function-axioms) are
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (6916) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6916) gives:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6917) implies:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6918) op(e2, e2) = e2
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (6918), (function-axioms) are
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6919) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6919) gives:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6920) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) op(e1, e1) = e1
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6883), (6921), (function-axioms) are
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6922) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) op(e0, e0) = all_57_15
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (170), (229),
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (6354), (6654), (6891), (6925),
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | #347.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6926) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) all_56_4 = e3 & op(e3, e1) = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6927) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) op(e3, e1) = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6880), (6928), (function-axioms) are
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) all_56_9 = e3 & op(e3, e0) = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6929) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) op(e3, e0) = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6896) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_54_8 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6931) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) all_52_2 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6879), (6932) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) $false
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6933) is inconsistent.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) all_54_8 = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (6934) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_52_2 = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6935) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) ~ (all_52_3 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6936) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) ~ (all_52_3 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6935) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) ~ (all_52_6 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6938) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) ~ (all_52_6 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6935) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) ~ (all_52_14 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6940) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) ~ (all_52_14 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6682), (6935) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) ~ (e2 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6654), (6935) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) ~ (e1 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) all_54_12 = e1
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (6655), (6944) are inconsistent by
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #808.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) ~ (all_54_12 = e1)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6946) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) all_54_12 = e2
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (6683), (6947) are inconsistent by
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #807.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) all_54_12 = e3 | all_54_12 = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6948) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) all_54_12 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6949) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) all_52_3 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6950) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) all_52_3 = e3
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6951) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) ~ (all_52_7 = e3)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6951) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) ~ (all_6_2 = e3)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (39), (6923)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) all_57_15 = all_6_2
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) ~ (all_32_2 = e2)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (6955) imply:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) ~ (all_6_2 = e2)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6924) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6957) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6958) implies:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) op(e0, e3) = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6937), (6959), (function-axioms) are
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6954), (6956), (6960) are inconsistent by
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #346.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6961) gives:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6692), (6954), (6962) are inconsistent by
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #345.
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.66/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6963) gives:
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6964) implies:
% 165.80/24.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) op(e1, e1) = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6883), (6965), (function-axioms) are
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6966) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_57_15 = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6954), (6967) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) all_6_2 = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6968) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) ~ (all_52_7 = e0)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (6968) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) ~ (all_52_13 = e0)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6968) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) op(e0, e0) = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_54_7 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (6972) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_52_13 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6973) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) all_52_13 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6974) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) ~ (all_52_14 = e1)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6975) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) ~ (all_52_14 = e1)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) all_54_11 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6976), (6977) are inconsistent by
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6978) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) all_54_11 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (6979) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) all_52_14 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6980) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) all_52_14 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (6981) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) ~ (all_52_6 = e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (6981) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) op(e1, e0) = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) all_54_9 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (6984) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) all_52_6 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6985) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) all_52_6 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6986) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) ~ (all_52_7 = e1)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6987) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) ~ (all_52_7 = e1)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) all_54_13 = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6988), (6989) are inconsistent by
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1011.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) ~ (all_54_13 = e1)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6991) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) all_54_13 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (6992) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) all_52_7 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6993) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) all_52_7 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6994) imply:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) ~ (all_52_4 = e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (6659), (6995), (6996),
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #835.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6997) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) all_56_4 = e2 & op(e3, e1) = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6998) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) op(e3, e1) = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7000) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7002) implies:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) op(e3, e2) = e3
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6354), (7003), (function-axioms) are
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (170), (249), (6937), (6948),
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995), (7004), (function-axioms) are inconsistent
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #676.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (6937), (6971), (6999), (7005),
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #691.
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7006) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6364), (6684), (6685), (6690),
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007), (function-axioms) are inconsistent by
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7008) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7009) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) op(e2, e2) = all_57_12
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_0 & $i(all_57_0))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (6690), (7010), (7011), (function-axioms)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #375.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (6941), (6983), (7012),
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #690.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) all_56_9 = e2 & op(e3, e0) = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7013) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) op(e3, e0) = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6930), (7014), (function-axioms) are
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) all_54_13 = e3 | all_54_13 = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6356), (6969), (7015) are inconsistent by
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #801.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (6355), (6939), (6982), (7016) are
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1139.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) all_54_11 = e3 | all_54_11 = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6882), (6941), (7017) are inconsistent by
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #343.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6358), (6685), (6970), (7018) are
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #811.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_32_2 = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (7019) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) all_6_2 = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7020) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) all_6_2 = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6954), (7021) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) all_57_15 = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (7021) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) ~ (all_52_14 = e2)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7021) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) op(e0, e0) = e2
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7025) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) op(e0, e0) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7024), (7026), (function-axioms) are
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7027) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) all_54_11 = e1
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7029) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) all_52_14 = e1
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7030) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_52_14 = e1
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7031) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) ~ (all_52_6 = e1)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7023), (7031) imply:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) ~ (e2 = e1)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6924) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7034) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7035) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) op(e0, e3) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6937), (7036), (function-axioms) are
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7037) implies:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) op(e0, e2) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (162), (170), (226), (373), (6656),
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032), (7038), (function-axioms) are inconsistent
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #342.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7039) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7022), (7040) are inconsistent by sub-proof
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1252.
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7041) gives:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7042) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) op(e1, e1) = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6883), (7043), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7044) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) all_57_15 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7022), (7045) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) e2 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6689), (7046) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) all_56_2 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (145), (164), (165), (167), (223),
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363), (6684), (6690), (7047), (function-axioms)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) ~ (all_54_11 = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (7048) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) ~ (all_52_14 = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7050) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7051) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) op(e1, e3) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6654), (7052), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7053) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) all_56_7 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) op(e1, e2) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7056) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_56_9 = e1 & op(e3, e0) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6658), (7057), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_56_10 = e1 & op(e2, e0) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7058) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) all_56_10 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (6682), (7054), (7060),
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #718.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7061) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7062) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) op(e1, e1) = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6883), (7063), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7064) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) all_56_11 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (6930), (7028), (7059), (7065),
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #734.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7066) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) all_56_11 = e1 & op(e1, e0) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7067) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) op(e1, e0) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (193), (250), (7055), (7068),
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) all_56_15 = e1 & op(e0, e0) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7069) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) op(e0, e0) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7024), (7070), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (6883), (7049), (7071),
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #809.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) all_54_12 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (6937), (7072) are inconsistent by
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7073) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (7073), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7074) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7074) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7075) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (6881), (7075), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7076) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (7076), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7077) all_24_2 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (7077) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7078) all_14_2 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | SIMP: (7078) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7079) all_14_2 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (7079) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7080) all_44_2 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | REDUCE: (359), (7079) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7081) ~ (all_52_6 = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | REDUCE: (361), (7079) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7082) ~ (all_52_8 = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | REDUCE: (51), (7079) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | (7083) op(e1, e1) = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | (7084) ~ (all_44_2 = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | REDUCE: (7080), (7084) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | (7085) $false
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | CLOSE: (7085) is inconsistent.
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | (7086) ( ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e2, e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | BETA: splitting (7086) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | (7087) ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | ALPHA: (7087) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | (7088) ~ (all_44_0 = e0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | (7089) op(e1, e2) = all_44_0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7090) ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | ALPHA: (7090) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7091) ~ (all_20_0 = e0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7092) op(e3, e1) = all_20_0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | all_44_0, e2, e1, simplifying with (162), (7089)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7093) all_52_6 = all_44_0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | all_20_0, e1, e3, simplifying with (169), (7092)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7094) all_52_8 = all_20_0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (7093) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7095) all_54_9 = all_44_0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7094) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7096) all_54_2 = all_20_0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7094) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7097) ~ (all_52_4 = all_20_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (7093) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7098) ~ (all_52_7 = all_44_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | SIMP: (7098) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7099) ~ (all_52_7 = all_44_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (6355), (7093) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7100) ~ (all_44_0 = e3)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (7081), (7093) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7101) ~ (all_44_0 = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (7094) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7102) ~ (all_52_12 = all_20_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | SIMP: (7102) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7103) ~ (all_52_12 = all_20_0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (7082), (7094) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7104) ~ (all_20_0 = e2)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (6657), (7094) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | (7105) ~ (all_20_0 = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7106) all_54_9 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7095), (7106) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7107) all_44_0 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7099), (7107) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7108) ~ (all_52_7 = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7100), (7107) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7109) ~ (e3 = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7089), (7107) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | (7110) op(e1, e2) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | (7111) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7111) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | (7112) all_56_12 = e1 & op(e0, e3) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6655), (7112), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | (7113) all_56_13 = e1 & op(e0, e2) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7108), (7113), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | (7114) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7114) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | (7115) all_56_14 = e1 & op(e0, e1) = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7115) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | (7116) all_56_14 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | (7117) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7117) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7118) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | (7119) all_56_12 = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) all_54_2 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7120) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_20_0 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7121) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) all_20_0 = e1
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7105), (7122) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) $false
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7123) is inconsistent.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) ~ (all_54_2 = e1)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7125) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) all_54_2 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7126) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) all_20_0 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7127) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) all_20_0 = e2
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7104), (7128) imply:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) $false
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7129) is inconsistent.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) all_54_2 = e3 | all_54_2 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7131) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) all_56_0 = e0 & op(e3, e3) = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7132) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) op(e3, e3) = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6659), (7133), (function-axioms) are
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) all_56_2 = e0 & op(e2, e3) = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7134) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) all_56_2 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (145), (164), (165), (167), (223),
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363), (6684), (6690), (7135), (function-axioms)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7136) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) all_56_6 = e0 & op(e1, e3) = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7137) implies:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_56_6 = e0
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7139) gives:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_56_6 = e3 & op(e1, e3) = e3
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7138), (7140) are inconsistent by sub-proof
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #865.
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) all_56_7 = e3 & op(e1, e2) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6355), (7141), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7142) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) all_56_8 = e3 & op(e1, e1) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7143) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) op(e1, e1) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7083), (7144), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) all_56_11 = e3 & op(e1, e0) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7145) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) op(e1, e0) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7130) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) all_54_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7147) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) all_20_0 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7148) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) all_20_0 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7103), (7149) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) ~ (all_52_12 = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7092), (7149) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) op(e3, e1) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (164), (165), (168), (169),
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (239), (6354), (6364), (6657), (6659),
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684), (6685), (6690), (7083), (7110), (7146),
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150), (7151), (function-axioms) are inconsistent
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #341.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_54_2 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7096), (7152) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) all_20_0 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7153) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) all_20_0 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7091), (7154) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) $false
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7155) is inconsistent.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7119), (7156) are inconsistent by sub-proof
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1382.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (7157), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | (7158) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7158) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7159) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7116), (7159) are inconsistent by sub-proof
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | #1123.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7160) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (7160), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | (7161) all_56_15 = e1 & op(e0, e0) = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (6692), (7161), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7162) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7088), (7095), (7100), (7101), (7162) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | (7163) ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (7163) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | (7164) ~ (all_20_1 = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | (7165) op(e1, e1) = all_20_1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7083), (7164), (7165), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #709.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | (7166) ~ (all_44_1 = e3) & op(e2, e2) = all_44_1 &
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | ALPHA: (7166) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | (7167) ~ (all_44_1 = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | (7168) op(e2, e2) = all_44_1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (7167), (7168), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | (7169) all_22_2 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | (7170) ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 165.80/24.68 | | | | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (7169) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7171) all_6_2 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | SIMP: (7171) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7172) all_6_2 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | REDUCE: (360), (7172) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7173) ~ (all_52_7 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | REDUCE: (367), (7172) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7174) ~ (all_52_11 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | REDUCE: (369), (7172) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7175) ~ (all_52_13 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | REDUCE: (372), (7172) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7176) ~ (e3 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | REDUCE: (39), (7172) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | (7177) op(e0, e0) = e1
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | (7178) all_54_7 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7178) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | (7179) all_52_13 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | REDUCE: (7175), (7179) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | (7180) $false
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | CLOSE: (7180) is inconsistent.
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | (7181) ~ (all_54_7 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | (7182) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | (7183) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (373), (6656), (7183),
% 165.80/24.68 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.68 | | | | | | | | | | | | | | | | | | #729.
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | (7184) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 165.80/24.68 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | BETA: splitting (7184) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | (7185) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | ALPHA: (7185) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | (7186) all_56_7 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | (7187) op(e1, e2) = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (7182) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | (7188) all_54_7 = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6685), (7188) are inconsistent by
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | (7189) ~ (all_54_7 = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | (7190) all_54_7 = e3 | all_54_7 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7191) all_54_7 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (6358), (7191) are inconsistent by
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | sub-proof #814.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7192) all_54_7 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7192) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7193) all_52_13 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (7193) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7194) all_52_13 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7194) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7195) ~ (all_52_14 = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (7195) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7196) ~ (all_52_14 = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6358), (7194) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7197) ~ (e3 = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7175), (7194) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | (7198) ~ (e1 = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | (7199) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7199) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | (7200) all_56_6 = e0 & op(e1, e3) = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7200) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | (7201) all_56_6 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | (7202) op(e1, e3) = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | (7203) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7203) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7204) all_56_0 = e3 & op(e3, e3) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7204) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7205) op(e3, e3) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6659), (7205), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_56_2 = e3 & op(e2, e3) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7206) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7207) all_56_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6689), (7207) are inconsistent by sub-proof
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | #1268.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | (7208) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7208) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_56_6 = e3 & op(e1, e3) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7201), (7209) are inconsistent by sub-proof
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | #865.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7210) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7210) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7211) all_56_12 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7212) op(e0, e3) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (7212) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7213) all_52_3 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7187) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7214) all_52_6 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (7202) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7215) all_52_2 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (7215) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7216) ~ (all_14_2 = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6682), (7215) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7217) ~ (e2 = e0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7214) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7218) ~ (all_52_14 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7218) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7219) ~ (all_52_14 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (7214) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7220) ~ (all_14_2 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7220) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | (7221) ~ (all_14_2 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) ~ (all_24_2 = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (7222) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) ~ (all_14_2 = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) all_54_10 = e1
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (7221), (7224) are inconsistent by
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) ~ (all_54_10 = e1)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (6682), (7186), (7227),
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #718.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7228) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7229) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) op(e1, e1) = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7226) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_54_10 = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (7223), (7231) are inconsistent by
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1308.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) ~ (all_54_10 = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) all_54_10 = e3 | all_54_10 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7233) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) all_54_10 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (7234) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) all_14_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7235) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) all_14_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7236) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) op(e1, e1) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7230), (7237), (function-axioms) are
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) all_54_10 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (6365), (7238) are inconsistent by
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1307.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7239) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) all_56_11 = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) op(e1, e0) = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7242) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) all_56_9 = e3 & op(e3, e0) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7243) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) op(e3, e0) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7226) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) all_54_10 = e2
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (7223), (7245) are inconsistent by
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1308.
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) ~ (all_54_10 = e2)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_54_10 = e3 | all_54_10 = e0
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7247) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) all_54_10 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (7248) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_14_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7249) implies:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) all_14_2 = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (7250) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) ~ (all_52_8 = e3)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7250) imply:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) op(e1, e1) = e3
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7170) gives:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7253) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) ~ (all_22_0 = e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) op(e0, e1) = all_22_0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7256) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) all_56_12 = e2 & op(e0, e3) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7257) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) op(e0, e3) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7212), (7258), (function-axioms) are
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) all_56_13 = e2 & op(e0, e2) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7259) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) all_56_13 = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_56_4 = e2 & op(e3, e1) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7262) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) op(e3, e1) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7264) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) op(e0, e0) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7177), (7265), (function-axioms) are
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7266) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7267) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7268) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) all_56_12 = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7211), (7269) are inconsistent by sub-proof
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7270) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) all_56_13 = e0 & op(e0, e2) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7271) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) all_56_13 = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7260), (7272) are inconsistent by sub-proof
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) all_56_14 = e0 & op(e0, e1) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7273) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) op(e0, e1) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) all_54_2 = e1
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (6657), (7275) are inconsistent by
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1191.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7277) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7278) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7279) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) op(e3, e2) = e3
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6354), (7280), (function-axioms) are
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7281) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7282) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) op(e3, e2) = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7276) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) all_54_2 = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7284) imply:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) all_52_8 = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7285) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) all_52_8 = e2
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7286) imply:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) ~ (all_52_4 = e2)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7283), (7287), (function-axioms) are
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) all_54_2 = e3 | all_54_2 = e0
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (7251), (7274), (7288),
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1116.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7289) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) op(e3, e1) = e3
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7263), (7290), (function-axioms) are
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7291) gives:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7292) implies:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) op(e3, e1) = e1
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7263), (7293), (function-axioms) are
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7294) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7295) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) op(e0, e0) = all_57_15
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) ~ (all_57_15 = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7177), (7274), (7296), (7297), (function-axioms)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #642.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7298) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) op(e3, e0) = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7244), (7299), (function-axioms) are
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7300) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6364), (6684), (6685), (6690),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301), (function-axioms) are inconsistent by
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (6364), (6690), (7174), (7196),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302), (function-axioms) are inconsistent by
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #356.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) all_56_5 = e2 & op(e2, e1) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7303) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) op(e2, e1) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6684), (7304), (function-axioms) are
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7252), (7254), (7255), (7305),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #719.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7306) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7307) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) op(e0, e1) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7254), (7255), (7308), (function-axioms) are
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #720.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7309) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) op(e0, e0) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (206),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (6658), (7240), (7241), (7310),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #794.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7311) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) ~ (all_22_1 = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) op(e1, e1) = all_22_1
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7252), (7312), (7313), (function-axioms) are
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #933.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) all_54_10 = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (6365), (7314) are inconsistent by
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1307.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) all_56_10 = e3 & op(e2, e0) = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6358), (7315), (function-axioms) are
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #391.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7177), (7240), (7316),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #562.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) all_24_2 = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (7317) imply:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_14_2 = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7318) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) all_14_2 = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (7319) imply:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) ~ (all_52_14 = e2)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7319) imply:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) op(e1, e1) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_54_11 = e1
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7219), (7322) are inconsistent by
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) ~ (all_54_11 = e1)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7324) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_54_11 = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7320), (7325) are inconsistent by
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_54_11 = e3 | all_54_11 = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7327) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) all_56_9 = e2 & op(e3, e0) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) op(e3, e0) = e2
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (170), (229),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (6354), (6654), (7211), (7330),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #347.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7331) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) all_56_4 = e3 & op(e3, e1) = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7332) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) op(e3, e1) = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7326) gives:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_54_11 = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (7334) imply:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_52_14 = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7335) implies:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) all_52_14 = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7336) imply:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) ~ (all_52_12 = e3)
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (7336) imply:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) op(e1, e0) = e3
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (164), (165), (168), (169),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (239), (6354), (6364), (6657), (6659),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684), (6685), (6690), (7187), (7321), (7333),
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337), (7338), (function-axioms) are inconsistent
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #341.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_54_11 = e0
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7196), (7339) are inconsistent by
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) all_56_9 = e3 & op(e3, e0) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7340) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) op(e3, e0) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7329), (7341), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) all_56_10 = e2 & op(e2, e0) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7342) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) op(e2, e0) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6685), (7343), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7344) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7345) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_56_11 = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7186), (7201), (7321),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346), (function-axioms) are inconsistent by
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #712.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7347) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) op(e0, e0) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7177), (7348), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | (7349) all_56_7 = e0 & op(e1, e2) = e0
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7349) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | (7350) op(e1, e2) = e0
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7187), (7350), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | (7351) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (160), (6365), (7196), (7351),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | #338.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7352) all_56_13 = e1 & op(e0, e2) = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7173), (7352), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | (7353) all_56_3 = e2 & op(e2, e2) = e2
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | ALPHA: (7353) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | (7354) op(e2, e2) = e2
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (7354), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | (7355) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 165.80/24.71 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6684), (6685), (7355),
% 165.80/24.71 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.71 | | | | | | | | | | | | | | #699.
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | (7356) all_54_4 = e3 | all_54_4 = e0
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | REF_CLOSE: (6661), (6664), (6673), (7356) are inconsistent by
% 165.80/24.71 | | | | | | | | | | | | | sub-proof #337.
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | (7357) ~ (all_12_1 = e1) & op(e3, e3) = all_12_1 &
% 165.80/24.71 | | | | | | | | | | | $i(all_12_1)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | ALPHA: (7357) implies:
% 165.80/24.71 | | | | | | | | | | | (7358) ~ (all_12_1 = e1)
% 165.80/24.71 | | | | | | | | | | | (7359) op(e3, e3) = all_12_1
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_12_1,
% 165.80/24.71 | | | | | | | | | | | e3, e3, simplifying with (6659), (7359) gives:
% 165.80/24.71 | | | | | | | | | | | (7360) all_12_1 = e1
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (7358), (7360) imply:
% 165.80/24.71 | | | | | | | | | | | (7361) $false
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | CLOSE: (7361) is inconsistent.
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | (7362) all_18_2 = e0
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | COMBINE_EQS: (327), (7362) imply:
% 165.80/24.71 | | | | | | | | | (7363) all_4_2 = e0
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | COMBINE_EQS: (281), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7364) all_48_2 = e0
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (336), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7365) ~ (all_52_1 = e0)
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (338), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7366) ~ (all_52_2 = e0)
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (340), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7367) ~ (all_52_3 = e0)
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (342), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7368) ~ (all_52_4 = e0)
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (344), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7369) ~ (all_52_8 = e0)
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (346), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7370) ~ (all_52_12 = e0)
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | REDUCE: (36), (7363) imply:
% 165.80/24.71 | | | | | | | | | (7371) op(e3, e3) = e0
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | BETA: splitting (100) gives:
% 165.80/24.71 | | | | | | | | |
% 165.80/24.71 | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | (7372) ~ (all_46_2 = e3)
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | REDUCE: (6352), (7372) imply:
% 165.80/24.71 | | | | | | | | | | (7373) $false
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | CLOSE: (7373) is inconsistent.
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | (7374) ( ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 165.80/24.71 | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e3, e3)
% 165.80/24.71 | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | BETA: splitting (7374) gives:
% 165.80/24.71 | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | (7375) ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 165.80/24.71 | | | | | | | | | | | $i(all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | ALPHA: (7375) implies:
% 165.80/24.71 | | | | | | | | | | | (7376) ~ (all_46_0 = e1)
% 165.80/24.71 | | | | | | | | | | | (7377) op(e2, e3) = all_46_0
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 165.80/24.71 | | | | | | | | | | | all_46_0, e3, e2, simplifying with (167), (7377)
% 165.80/24.71 | | | | | | | | | | | gives:
% 165.80/24.71 | | | | | | | | | | | (7378) all_52_1 = all_46_0
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | COMBINE_EQS: (269), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7379) all_54_4 = all_46_0
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (149), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7380) ~ (all_52_2 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | SIMP: (7380) implies:
% 165.80/24.71 | | | | | | | | | | | (7381) ~ (all_52_2 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (148), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7382) ~ (all_52_3 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | SIMP: (7382) implies:
% 165.80/24.71 | | | | | | | | | | | (7383) ~ (all_52_3 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (146), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7384) ~ (all_52_9 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | SIMP: (7384) implies:
% 165.80/24.71 | | | | | | | | | | | (7385) ~ (all_52_9 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (145), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7386) ~ (all_52_13 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | SIMP: (7386) implies:
% 165.80/24.71 | | | | | | | | | | | (7387) ~ (all_52_13 = all_46_0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (6353), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7388) ~ (all_46_0 = e3)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | REDUCE: (7365), (7378) imply:
% 165.80/24.71 | | | | | | | | | | | (7389) ~ (all_46_0 = e0)
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | BETA: splitting (200) gives:
% 165.80/24.71 | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | (7390) all_54_4 = e1
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | REF_CLOSE: (7376), (7379), (7390) are inconsistent by
% 165.80/24.71 | | | | | | | | | | | | sub-proof #336.
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | (7391) ~ (all_54_4 = e1)
% 165.80/24.71 | | | | | | | | | | | | (7392) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | BETA: splitting (7392) gives:
% 165.80/24.71 | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | (7393) all_54_4 = e2
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | COMBINE_EQS: (7379), (7393) imply:
% 165.80/24.71 | | | | | | | | | | | | | (7394) all_46_0 = e2
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | SIMP: (7394) implies:
% 165.80/24.71 | | | | | | | | | | | | | (7395) all_46_0 = e2
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | REDUCE: (7381), (7395) imply:
% 165.80/24.71 | | | | | | | | | | | | | (7396) ~ (all_52_2 = e2)
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | REDUCE: (7383), (7395) imply:
% 165.80/24.71 | | | | | | | | | | | | | (7397) ~ (all_52_3 = e2)
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | REDUCE: (7385), (7395) imply:
% 165.80/24.71 | | | | | | | | | | | | | (7398) ~ (all_52_9 = e2)
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | REDUCE: (7387), (7395) imply:
% 165.80/24.71 | | | | | | | | | | | | | (7399) ~ (all_52_13 = e2)
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | REDUCE: (7388), (7395) imply:
% 165.80/24.71 | | | | | | | | | | | | | (7400) ~ (e3 = e2)
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | BETA: splitting (223) gives:
% 165.80/24.71 | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | (7401) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 165.80/24.71 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | BETA: splitting (7401) gives:
% 165.80/24.71 | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | (7402) all_56_2 = e2 & op(e2, e3) = e2
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | ALPHA: (7402) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | (7403) all_56_2 = e2
% 165.80/24.71 | | | | | | | | | | | | | | | (7404) op(e2, e3) = e2
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 165.80/24.71 | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | (7405) ~ (all_22_2 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | REDUCE: (310), (7405) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | (7406) ~ (all_6_2 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | (7407) ~ (all_24_2 = e2)
% 165.80/24.71 | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | REDUCE: (322), (7407) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | (7408) ~ (all_14_2 = e2)
% 165.80/24.71 | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | (7409) ~ (all_26_2 = e3)
% 165.80/24.71 | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | REDUCE: (303), (7409) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | (7410) ~ (all_14_2 = e3)
% 165.80/24.71 | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7411) all_54_10 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (7411) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7412) all_14_2 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | SIMP: (7412) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7413) all_14_2 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (348), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7414) ~ (all_52_2 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (359), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7415) ~ (all_52_6 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (364), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7416) ~ (all_52_11 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (366), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7417) ~ (all_52_14 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (7410), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7418) ~ (e3 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (7408), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7419) ~ (e2 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7413) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | (7420) op(e1, e1) = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | (7421) all_54_8 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7421) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | (7422) all_52_2 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (7414), (7422) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | (7423) $false
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | CLOSE: (7423) is inconsistent.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | (7424) ~ (all_54_8 = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | (7425) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7425) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | (7426) all_54_8 = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7426) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | (7427) all_52_2 = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7396), (7427) imply:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | (7428) $false
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7428) is inconsistent.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | (7429) all_54_8 = e3 | all_54_8 = e0
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | (7430) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7371), (7376), (7377), (7430),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | #334.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | (7431) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7431) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | (7432) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7432) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | (7433) op(e1, e3) = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7414), (7433), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | (7434) all_56_12 = e1 & op(e0, e3) = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7434) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | (7435) all_56_12 = e1
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | (7436) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7436) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7437) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7437) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7438) all_56_12 = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (145), (163), (164),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (223), (229), (231), (6363), (7366),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7376), (7377), (7398), (7404), (7414), (7438),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | #332.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7439) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (7439), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | (7440) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7440) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7441) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7441) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7442) all_56_14 = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | (7443) op(e0, e1) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7444) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) all_56_4 = e2 & op(e3, e1) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7445) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) op(e3, e1) = e2
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7447) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) all_56_0 = e3 & op(e3, e3) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7448) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) op(e3, e3) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (229), (7366), (7403),
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435), (7449), (function-axioms) are inconsistent
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #331.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) all_56_1 = e3 & op(e3, e2) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7450) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) op(e3, e2) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6354), (7451), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7452) gives:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) all_56_4 = e3 & op(e3, e1) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7453) implies:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) op(e3, e1) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7446), (7454), (function-axioms) are
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) all_56_9 = e3 & op(e3, e0) = e3
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7455) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7456) all_56_9 = e3
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7457) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7457) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7458) all_56_0 = e1 & op(e3, e3) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7458) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7459) op(e3, e3) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7371), (7459), (function-axioms) are
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460) all_56_1 = e1 & op(e3, e2) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7460) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7461) op(e3, e2) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7429) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7462) all_54_8 = e3
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7462) imply:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7463) all_52_2 = e3
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7463) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) all_52_2 = e3
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7464) imply:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) ~ (all_52_3 = e3)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7465) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) ~ (all_52_3 = e3)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7467) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7467) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7468) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7468) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7469) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7469) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470) op(e3, e2) = e3
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7461), (7470), (function-axioms) are
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1186.
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7471) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7472) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7473) op(e3, e2) = e2
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7461), (7473), (function-axioms) are
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7474) implies:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7475) ~ (all_57_14 = e1)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7476) op(e1, e1) = all_57_14
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7420), (7475), (7476), (function-axioms) are
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (7367), (7446), (7466), (7477),
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #330.
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7478) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7478) gives:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6364), (7399), (7404), (7420), (7479),
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #357.
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (6364), (7404), (7416), (7443),
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480), (function-axioms) are inconsistent by
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #349.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481) all_54_8 = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7366), (7481) are inconsistent by
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #329.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7482) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7482) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7483) all_56_4 = e1 & op(e3, e1) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7483) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484) op(e3, e1) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7446), (7484), (function-axioms) are
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7485) all_56_9 = e1 & op(e3, e0) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7456), (7485) are inconsistent by sub-proof
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7486) all_56_5 = e2 & op(e2, e1) = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7486) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7487) op(e2, e1) = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7398), (7487), (function-axioms) are
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (7488) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7488) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7489) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (162), (163), (214), (7414), (7415),
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417), (7489), (function-axioms) are inconsistent
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #888.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7490) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7442), (7490) are inconsistent by sub-proof
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1057.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | (7491) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (7491), (function-axioms) are
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | (7492) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (6365), (7408), (7410), (7492) are
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7493) all_26_2 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (7493) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7494) all_14_2 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | SIMP: (7494) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7495) all_14_2 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (7495) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7496) all_42_2 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | REDUCE: (348), (7495) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7497) ~ (all_52_2 = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | REDUCE: (364), (7495) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7498) ~ (all_52_11 = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | REDUCE: (366), (7495) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7499) ~ (all_52_14 = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | REDUCE: (51), (7495) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | (7500) op(e1, e1) = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | (7501) ~ (all_42_2 = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | REDUCE: (7496), (7501) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | (7502) $false
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | CLOSE: (7502) is inconsistent.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | (7503) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | (7504) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7504) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | (7505) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7505) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | (7506) all_56_12 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7507) all_54_8 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7507) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7508) all_52_2 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7508) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7509) ~ (all_52_3 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7509) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7510) ~ (all_52_3 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7508) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7511) ~ (all_52_14 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (7511) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7512) ~ (all_52_14 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7497), (7508) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7513) ~ (e3 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (7508) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | (7514) op(e1, e3) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | (7515) all_54_12 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7510), (7515) are inconsistent by
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #808.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | (7516) ~ (all_54_12 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | (7517) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | (7518) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7518) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | (7519) all_56_9 = e3 & op(e3, e0) = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7519) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | (7520) all_56_9 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | (7521) op(e3, e0) = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7517) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) all_54_12 = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7397), (7522) are inconsistent by
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #807.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) all_54_12 = e3 | all_54_12 = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7503) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7524) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) ~ (all_42_0 = e2)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) op(e1, e3) = all_42_0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7527) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) all_56_9 = e1 & op(e3, e0) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7520), (7528) are inconsistent by sub-proof
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1301.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_56_10 = e1 & op(e2, e0) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7529) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) all_56_10 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) op(e2, e0) = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (145), (164), (165), (167), (223),
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363), (6364), (7398), (7404), (7532),
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7533) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) all_56_5 = e0 & op(e2, e1) = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7534) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) op(e2, e1) = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_0,
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (7514), (7526) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7536) all_42_0 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (7531) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537) all_52_13 = e1
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7535) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538) all_52_9 = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (7521) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7539) all_52_12 = e3
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7538) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7540) ~ (all_52_11 = e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7540) implies:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7541) ~ (all_52_11 = e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7537), (7538) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542) ~ (e1 = e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7398), (7538) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7543) ~ (e2 = e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (7539) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7544) ~ (all_6_2 = e3)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (7537) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7545) ~ (all_6_2 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7525), (7536) imply:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7546) ~ (e2 = e1)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7547) gives:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7548) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7549) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7550) op(e3, e2) = e3
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6354), (7550), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7551) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7552) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7552) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7553) op(e3, e3) = all_57_10
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7554) ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_9 & $i(all_57_9))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7371), (7521), (7553), (7554), (function-axioms)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #328.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7555) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556) op(e1, e3) = e3
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (249), (7367), (7523), (7556),
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #805.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7557) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7557) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7558) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7558) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7559) op(e3, e3) = all_57_10
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7560) ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_9 & $i(all_57_9))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7371), (7521), (7559), (7560), (function-axioms)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #328.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7561) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7561) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7562) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7562) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563) ~ (all_57_15 = e0)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7564) op(e0, e0) = all_57_15
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7565) op(e0, e3) = e3
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7566) ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (39), (7564)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7567) all_57_15 = all_6_2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7563), (7567) imply:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568) ~ (all_6_2 = e0)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7569) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7569) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) op(e0, e0) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) all_54_15 = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (7406), (7571) are inconsistent by
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (7568), (7570), (7572),
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7573) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7574) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7575) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) op(e0, e3) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7367), (7576), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7577) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_56_13 = e0 & op(e0, e2) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7578) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) op(e0, e2) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7580) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) all_56_12 = e1 & op(e0, e3) = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7510), (7581), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) all_56_13 = e1 & op(e0, e2) = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7582) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) op(e0, e2) = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7574) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7584) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) op(e0, e3) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7367), (7585), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7577) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7579), (7583), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) all_56_14 = e0 & op(e0, e1) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7586) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) op(e0, e1) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7541), (7587), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7588) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) all_56_14 = e1 & op(e0, e1) = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7589) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) all_56_14 = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7591) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) all_56_12 = e2 & op(e0, e3) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7592) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) op(e0, e3) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7565), (7593), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_56_13 = e2 & op(e0, e2) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7594) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) all_56_13 = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (157), (7506), (7541), (7574), (7595),
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #767.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7596) gives:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7590), (7597) are inconsistent by sub-proof
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7598) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) op(e0, e0) = e2
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7564), (7566), (7579), (7599), (function-axioms)
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) all_56_15 = e1 & op(e0, e0) = e1
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (7406), (7600), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) all_56_14 = e0 & op(e0, e1) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7601) implies:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) op(e0, e1) = e0
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7541), (7602), (function-axioms) are
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7603) implies:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) op(e0, e3) = e0
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7367), (7604), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7605) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7606) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7607) implies:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) op(e1, e1) = all_57_14
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) ~ (all_57_14 = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & $i(all_57_1))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7500), (7514), (7608), (7609), (function-axioms)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #635.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6364), (7399), (7404), (7610),
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #358.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7611) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7612) implies:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) op(e2, e2) = all_57_12
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_0 & $i(all_57_0))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (7404), (7613), (7614), (function-axioms)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #375.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (7512), (7541), (7615),
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #816.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_56_10 = e0 & op(e2, e0) = e0
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7530), (7616) are inconsistent by sub-proof
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #878.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (7406), (7512), (7617),
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7371), (7618), (function-axioms) are inconsistent
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #668.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | (7619) all_56_10 = e3 & op(e2, e0) = e3
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6358), (7619), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #391.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | (7620) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7620) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | (7621) all_56_11 = e3 & op(e1, e0) = e3
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7499), (7621), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | (7622) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (7622), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | (7623) ~ (all_54_8 = e1)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (7623) imply:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | (7624) ~ (all_52_2 = e1)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (145), (163), (164),
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | (165), (167), (223), (229), (231), (6363), (7366),
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | (7376), (7377), (7398), (7404), (7506), (7624),
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | | #332.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | (7625) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (7625), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | (7626) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7626) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | (7627) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7498), (7627), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | (7628) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (7628), (function-axioms) are
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | (7629) all_24_2 = e2
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (7629) imply:
% 165.80/24.75 | | | | | | | | | | | | | | | | | (7630) all_14_2 = e2
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (7630) imply:
% 165.80/24.75 | | | | | | | | | | | | | | | | | (7631) all_44_2 = e2
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | REDUCE: (359), (7630) imply:
% 165.80/24.75 | | | | | | | | | | | | | | | | | (7632) ~ (all_52_6 = e2)
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | REDUCE: (51), (7630) imply:
% 165.80/24.75 | | | | | | | | | | | | | | | | | (7633) op(e1, e1) = e2
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | (7634) ~ (all_44_2 = e2)
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | REDUCE: (7631), (7634) imply:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | (7635) $false
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | CLOSE: (7635) is inconsistent.
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | (7636) ( ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 165.80/24.75 | | | | | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e2, e2)
% 165.80/24.75 | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | BETA: splitting (7636) gives:
% 165.80/24.75 | | | | | | | | | | | | | | | | | |
% 165.80/24.75 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.75 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7637) ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | ALPHA: (7637) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7638) ~ (all_44_0 = e0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7639) op(e1, e2) = all_44_0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | all_44_0, e2, e1, simplifying with (162), (7639)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7640) all_52_6 = all_44_0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (7640) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7641) all_54_9 = all_44_0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | REDUCE: (143), (7640) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7642) ~ (all_52_2 = all_44_0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | REDUCE: (6355), (7640) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7643) ~ (all_44_0 = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | REDUCE: (7632), (7640) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | (7644) ~ (all_44_0 = e2)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | (7645) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7645) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7646) all_56_6 = e0 & op(e1, e3) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7366), (7646), (function-axioms) are
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7647) all_56_7 = e0 & op(e1, e2) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7647) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7648) op(e1, e2) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7638), (7639), (7648), (function-axioms) are
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #327.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | (7649) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7649) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7650) all_56_8 = e0 & op(e1, e1) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7650) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7651) op(e1, e1) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7633), (7651), (function-axioms) are
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7652) all_56_11 = e0 & op(e1, e0) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7652) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | (7653) op(e1, e0) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | (7654) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7654) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | (7655) all_56_9 = e3 & op(e3, e0) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7655) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | (7656) op(e3, e0) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | (7657) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (6364), (7368), (7657),
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | #326.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | (7658) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7658) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_56_7 = e0 & op(e1, e2) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7659) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | (7660) op(e1, e2) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7638), (7639), (7660), (function-axioms) are
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #327.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | (7661) all_56_13 = e0 & op(e0, e2) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7661) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | (7662) op(e0, e2) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7663) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_56_6 = e3 & op(e1, e3) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7664) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) all_56_6 = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7371), (7376), (7377), (7666),
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #334.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7667) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7668) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_56_6 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7665), (7669) are inconsistent by sub-proof
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #679.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_56_12 = e1 & op(e0, e3) = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7670) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) all_56_12 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7672) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7671), (7673) are inconsistent by sub-proof
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1067.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7674) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) op(e0, e2) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7662), (7675), (function-axioms) are
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7676) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7677) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) op(e0, e1) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_54_9 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7641), (7679) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) all_44_0 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7680) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) all_44_0 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7642), (7681) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) ~ (all_52_2 = e1)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7639), (7681) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) op(e1, e2) = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_54_8 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7682), (7684) are inconsistent by
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) ~ (all_54_8 = e1)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7686) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_54_8 = e2
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7396), (7687) are inconsistent by
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #745.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) all_54_8 = e3 | all_54_8 = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7688) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) all_54_8 = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7689) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) all_52_2 = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7690) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_52_2 = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7691) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) ~ (all_52_3 = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7692) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) ~ (all_52_3 = e3)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (7691) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) op(e1, e3) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) all_54_12 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (7695) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) all_52_3 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7696) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_52_3 = e1
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7697) imply:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) ~ (all_52_11 = e1)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7698) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) ~ (all_52_11 = e1)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7700) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7701) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7702) implies:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) op(e3, e2) = e3
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6354), (7703), (function-axioms) are
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7704) gives:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7705) implies:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) op(e3, e3) = all_57_10
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_9 & $i(all_57_9))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7371), (7656), (7706), (7707), (function-axioms)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #328.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7708) implies:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) op(e1, e1) = all_57_14
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) ~ (all_57_14 = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_4 & $i(all_57_4))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7633), (7683), (7709), (7710), (function-axioms)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #716.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (7367), (7682), (7693), (7711),
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #325.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7712) gives:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6364), (7398), (7399), (7404),
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713), (function-axioms) are inconsistent by
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (6364), (7404), (7678), (7699),
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714), (function-axioms) are inconsistent by
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #349.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (249), (7367), (7397), (7694),
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715), (function-axioms) are inconsistent by
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) all_54_8 = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7366), (7716) are inconsistent by
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #329.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7638), (7641), (7643), (7644), (7717) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (7718), (function-axioms) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_56_7 = e3 & op(e1, e2) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6355), (7719), (function-axioms) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7720) gives:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) all_56_8 = e3 & op(e1, e1) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7721) implies:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) op(e1, e1) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7633), (7722), (function-axioms) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) all_56_11 = e3 & op(e1, e0) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7723) implies:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) op(e1, e0) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (7653), (7724), (function-axioms) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | (7725) all_56_10 = e3 & op(e2, e0) = e3
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6358), (7725), (function-axioms) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #391.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | (7726) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (160), (372), (7653), (7726),
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | | #323.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | (7727) ~ (all_44_1 = e3) & op(e2, e2) = all_44_1 &
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | ALPHA: (7727) implies:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | (7728) ~ (all_44_1 = e3)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | (7729) op(e2, e2) = all_44_1
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (7728), (7729), (function-axioms) are
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | End of split
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | (7730) all_22_2 = e1
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (7730) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | (7731) all_6_2 = e1
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | REDUCE: (349), (7731) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | (7732) ~ (all_52_3 = e1)
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | REDUCE: (367), (7731) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | (7733) ~ (all_52_11 = e1)
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | REDUCE: (369), (7731) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | (7734) ~ (all_52_13 = e1)
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | REDUCE: (39), (7731) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | (7735) op(e0, e0) = e1
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 165.80/24.77 | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | (7736) all_54_7 = e1
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7736) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | | (7737) all_52_13 = e1
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | REDUCE: (7734), (7737) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | | (7738) $false
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | CLOSE: (7738) is inconsistent.
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | (7739) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | BETA: splitting (7739) gives:
% 165.80/24.77 | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | (7740) all_54_7 = e2
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7740) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | (7741) all_52_13 = e2
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | REDUCE: (7399), (7741) imply:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | (7742) $false
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | CLOSE: (7742) is inconsistent.
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | (7743) ~ (all_54_7 = e2)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | (7744) all_54_7 = e3 | all_54_7 = e0
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 165.80/24.77 | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | (7745) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7371), (7376), (7377), (7745),
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | #334.
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | (7746) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (7746) gives:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | |
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.77 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | (7747) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (7747) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | (7748) op(e1, e3) = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | (7749) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7371), (7403), (7749),
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | #322.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | (7750) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7750) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | (7751) all_56_6 = e3 & op(e1, e3) = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7751) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | (7752) op(e1, e3) = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (192), (249), (7367), (7397),
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | (7732), (7752), (function-axioms) are inconsistent
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #804.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | (7753) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7753) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | (7754) all_56_12 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7744) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7755) all_54_7 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7755) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7756) all_52_13 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6358), (7756) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7757) $false
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7757) is inconsistent.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7758) all_54_7 = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7758) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7759) all_52_13 = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7759) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7760) ~ (all_52_9 = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7759) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7761) ~ (all_52_14 = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7761) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7762) ~ (all_52_14 = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7399), (7759) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | (7763) ~ (e2 = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_54_12 = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7732), (7764) are inconsistent by
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #808.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | (7765) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7765) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_54_12 = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7397), (7766) are inconsistent by
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #807.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7767) ~ (all_54_12 = e2)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_54_12 = e3 | all_54_12 = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7768) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_54_12 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (7769) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) all_52_3 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7770) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) all_52_3 = e3
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7771) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) ~ (all_52_2 = e3)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) ~ (all_48_2 = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7364), (7773) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) $false
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7774) is inconsistent.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7775) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7776) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) ~ (all_48_0 = e2)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) op(e3, e0) = all_48_0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) all_54_8 = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7779) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_52_2 = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7780) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) all_52_2 = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (7781) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) ~ (all_52_6 = e1)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7782) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) ~ (all_52_6 = e1)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7772), (7781) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) ~ (e3 = e1)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7396), (7781) imply:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) ~ (e2 = e1)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7786) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) all_56_4 = e0 & op(e3, e1) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7369), (7787), (function-axioms) are
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) all_56_5 = e0 & op(e2, e1) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7760), (7788), (function-axioms) are
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7789) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) all_56_8 = e0 & op(e1, e1) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7790) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) op(e1, e1) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6365), (7791), (function-axioms) are
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #339.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) all_56_14 = e0 & op(e0, e1) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7792) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) all_56_14 = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) op(e0, e1) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7795) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) all_56_1 = e1 & op(e3, e2) = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7796) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) op(e3, e2) = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7371), (7797), (7798),
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #321.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7799) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_56_4 = e2 & op(e3, e1) = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7800) implies:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) op(e3, e1) = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7802) gives:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (163), (7772), (7797), (7803),
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1168.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (7367), (7735), (7794), (7801),
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804), (function-axioms) are inconsistent by
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7805) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (6364), (7398), (7399), (7404),
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806), (function-axioms) are inconsistent by
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (6364), (7404), (7733), (7762),
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807), (function-axioms) are inconsistent by
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #356.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) all_56_9 = e2 & op(e3, e0) = e2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7808) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) op(e3, e0) = e2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7777), (7778), (7809), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) all_56_3 = e1 & op(e2, e2) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7810) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) op(e2, e2) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (7811), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7812) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7813) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) op(e1, e2) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7783), (7814), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) all_56_13 = e1 & op(e0, e2) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7815) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) all_56_13 = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (7735), (7754), (7793),
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816), (function-axioms) are inconsistent by
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #969.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) ~ (all_54_8 = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (7817) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) ~ (all_52_2 = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7748), (7818), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1187.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7819) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) ~ (all_48_1 = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) op(e0, e0) = all_48_1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7735), (7820), (7821), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) all_54_12 = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7367), (7822) are inconsistent by
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | (7823) all_56_12 = e1 & op(e0, e3) = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7732), (7823), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | (7824) all_56_3 = e2 & op(e2, e2) = e2
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | ALPHA: (7824) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | (7825) op(e2, e2) = e2
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (7825), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | (7826) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 165.80/24.79 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7398), (7399), (7826),
% 165.80/24.79 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.79 | | | | | | | | | | | | | | #699.
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | (7827) all_54_4 = e3 | all_54_4 = e0
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | REF_CLOSE: (269), (6353), (7365), (7827) are inconsistent by
% 165.80/24.79 | | | | | | | | | | | | | sub-proof #1314.
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | (7828) ~ (all_46_1 = e0) & op(e3, e3) = all_46_1 &
% 165.80/24.79 | | | | | | | | | | | $i(all_46_1)
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | ALPHA: (7828) implies:
% 165.80/24.79 | | | | | | | | | | | (7829) ~ (all_46_1 = e0)
% 165.80/24.79 | | | | | | | | | | | (7830) op(e3, e3) = all_46_1
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | REF_CLOSE: (7371), (7829), (7830), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | inconsistent by sub-proof #320.
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | End of split
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | (7831) all_14_2 = e0
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | COMBINE_EQS: (323), (7831) imply:
% 165.80/24.79 | | | | | | | | (7832) all_16_2 = e0
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (348), (7831) imply:
% 165.80/24.79 | | | | | | | | (7833) ~ (all_52_2 = e0)
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (359), (7831) imply:
% 165.80/24.79 | | | | | | | | (7834) ~ (all_52_6 = e0)
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (361), (7831) imply:
% 165.80/24.79 | | | | | | | | (7835) ~ (all_52_8 = e0)
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (362), (7831) imply:
% 165.80/24.79 | | | | | | | | (7836) ~ (all_52_9 = e0)
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (364), (7831) imply:
% 165.80/24.79 | | | | | | | | (7837) ~ (all_52_11 = e0)
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (366), (7831) imply:
% 165.80/24.79 | | | | | | | | (7838) ~ (all_52_14 = e0)
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | REDUCE: (51), (7831) imply:
% 165.80/24.79 | | | | | | | | (7839) op(e1, e1) = e0
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | BETA: splitting (55) gives:
% 165.80/24.79 | | | | | | | |
% 165.80/24.79 | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | | (7840) ~ (all_16_2 = e0)
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | | REDUCE: (7832), (7840) imply:
% 165.80/24.79 | | | | | | | | | (7841) $false
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | | CLOSE: (7841) is inconsistent.
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | | (7842) ( ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 165.80/24.79 | | | | | | | | | $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e0, e0) =
% 165.80/24.79 | | | | | | | | | all_16_1 & $i(all_16_1))
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | | BETA: splitting (58) gives:
% 165.80/24.79 | | | | | | | | |
% 165.80/24.79 | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | (7843) ~ (all_18_2 = e0)
% 165.80/24.79 | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | REDUCE: (327), (7843) imply:
% 165.80/24.79 | | | | | | | | | | (7844) ~ (all_4_2 = e0)
% 165.80/24.79 | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | BETA: splitting (61) gives:
% 165.80/24.79 | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | (7845) ~ (all_20_2 = e1)
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | REDUCE: (300), (7845) imply:
% 165.80/24.79 | | | | | | | | | | | (7846) ~ (all_4_2 = e1)
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | BETA: splitting (204) gives:
% 165.80/24.79 | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | (7847) all_54_0 = e1
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | COMBINE_EQS: (279), (7847) imply:
% 165.80/24.79 | | | | | | | | | | | | (7848) all_4_2 = e1
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | REDUCE: (7846), (7848) imply:
% 165.80/24.79 | | | | | | | | | | | | (7849) $false
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | CLOSE: (7849) is inconsistent.
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | (7850) ~ (all_54_0 = e1)
% 165.80/24.79 | | | | | | | | | | | | (7851) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | BETA: splitting (7851) gives:
% 165.80/24.79 | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | (7852) all_54_0 = e2
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | COMBINE_EQS: (279), (7852) imply:
% 165.80/24.79 | | | | | | | | | | | | | (7853) all_4_2 = e2
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | REDUCE: (371), (7853) imply:
% 165.80/24.79 | | | | | | | | | | | | | (7854) $false
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | CLOSE: (7854) is inconsistent.
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | (7855) ~ (all_54_0 = e2)
% 165.80/24.79 | | | | | | | | | | | | | (7856) all_54_0 = e3 | all_54_0 = e0
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | BETA: splitting (7856) gives:
% 165.80/24.79 | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | (7857) all_54_0 = e3
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | COMBINE_EQS: (279), (7857) imply:
% 165.80/24.79 | | | | | | | | | | | | | | (7858) all_4_2 = e3
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | REDUCE: (36), (7858) imply:
% 165.80/24.79 | | | | | | | | | | | | | | (7859) op(e3, e3) = e3
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 165.80/24.79 | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | (7860) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 165.80/24.79 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (230), (232),
% 165.80/24.79 | | | | | | | | | | | | | | | (234), (6358), (7859), (7860), (function-axioms)
% 165.80/24.79 | | | | | | | | | | | | | | | are inconsistent by sub-proof #390.
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | (7861) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 165.80/24.79 | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | BETA: splitting (7861) gives:
% 165.80/24.79 | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | (7862) all_56_11 = e3 & op(e1, e0) = e3
% 165.80/24.79 | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | ALPHA: (7862) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | (7863) all_56_11 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | (7864) op(e1, e0) = e3
% 165.80/24.79 | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | (7865) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | BETA: splitting (7865) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7866) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (233), (7833), (7859), (7866), (function-axioms)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1125.
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7867) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (7867), (function-axioms) are
% 165.80/24.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | (7868) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.79 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | BETA: splitting (7868) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7869) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | ALPHA: (7869) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7870) all_56_14 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7871) op(e0, e1) = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (7871) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7872) all_52_11 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (7864) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7873) all_52_14 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | REDUCE: (141), (7873) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7874) ~ (all_52_2 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | REDUCE: (139), (7872) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7875) ~ (all_52_3 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | REDUCE: (121), (7872) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7876) ~ (all_52_8 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | REDUCE: (370), (7873) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | (7877) ~ (all_6_2 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | BETA: splitting (7842) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7878) ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7878) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7879) ~ (all_16_0 = e3)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7880) op(e1, e0) = all_16_0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_0,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (7864), (7880) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7881) all_16_0 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | REDUCE: (7879), (7881) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7882) $false
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | CLOSE: (7882) is inconsistent.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7883) ~ (all_16_1 = e2) & op(e0, e0) = all_16_1 &
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7883) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7884) ~ (all_16_1 = e2)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7885) op(e0, e0) = all_16_1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | all_16_1, e0, e0, simplifying with (39), (7885)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7886) all_16_1 = all_6_2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | REDUCE: (7884), (7886) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | (7887) ~ (all_6_2 = e2)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | (7888) ~ (all_22_2 = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (7888) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | (7889) ~ (all_6_2 = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | (7890) all_54_15 = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (7890) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | (7891) all_6_2 = e1
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7889), (7891) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | (7892) $false
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7892) is inconsistent.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | (7893) ~ (all_54_15 = e1)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | (7894) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7894) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | (7895) all_54_15 = e2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (7895) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | (7896) all_6_2 = e2
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7887), (7896) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | (7897) $false
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7897) is inconsistent.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | (7898) ~ (all_54_15 = e2)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | (7899) all_54_15 = e3 | all_54_15 = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7899) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7900) all_54_15 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (7900) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7901) all_6_2 = e3
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (7901) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7902) $false
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7902) is inconsistent.
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7903) all_54_15 = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (7903) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7904) all_6_2 = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (7904) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7905) ~ (all_52_3 = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (7904) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7906) ~ (all_52_7 = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (7904) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7907) ~ (all_52_13 = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (7904) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7908) ~ (e3 = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7887), (7904) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7909) ~ (e2 = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7889), (7904) imply:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | (7910) ~ (e1 = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | (7911) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7911) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7912) all_56_2 = e0 & op(e2, e3) = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7912) implies:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7913) op(e2, e3) = e0
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7914) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7915) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) op(e2, e3) = e2
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7913), (7917), (function-axioms) are
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #319.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (6354), (7839), (7918),
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #424.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7919) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7920) implies:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) op(e1, e1) = e2
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (169), (217), (7835), (7836),
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870), (7921), (function-axioms) are inconsistent
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #920.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (373), (7859), (7922),
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #371.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7923) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (6364), (7839), (7859), (7864),
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913), (7924), (function-axioms) are inconsistent
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #317.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7925) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7926) implies:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) op(e2, e2) = e2
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (7927), (function-axioms) are
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7928) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7929) implies:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) op(e1, e1) = e1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7839), (7930), (function-axioms) are
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7931) implies:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (159), (7837), (7839), (7864),
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905), (7906), (7932), (function-axioms) are
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_56_3 = e0 & op(e2, e2) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7933) implies:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | (7934) op(e2, e2) = e0
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6364), (7934), (function-axioms) are
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | (7935) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7836), (7907), (7935),
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | | #315.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7936) all_22_2 = e1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (7936) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7937) all_6_2 = e1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7938) all_38_2 = e1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7939) ~ (all_52_3 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7940) ~ (all_52_7 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7941) ~ (all_52_12 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7942) ~ (e3 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (7887), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7943) ~ (e2 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7937) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | (7944) op(e0, e0) = e1
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | (7945) ~ (all_38_2 = e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7938), (7945) imply:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | (7946) $false
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7946) is inconsistent.
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | (7947) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7947) gives:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.80 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | (7948) ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7948) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | (7949) ~ (all_38_0 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | (7950) op(e0, e1) = all_38_0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7871), (7949), (7950), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | (7951) ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | (7952) ~ (all_38_1 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | (7953) op(e1, e1) = all_38_1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | (7954) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7954) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_56_9 = e1 & op(e3, e0) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7941), (7955), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7956) all_56_10 = e1 & op(e2, e0) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7956) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_56_10 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7958) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7959) op(e0, e0) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7944), (7959), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7960) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7960) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7961) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (211), (212),
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (7838), (7859), (7944),
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7957), (7961), (function-axioms) are inconsistent
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #313.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | (7962) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7962) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7963) all_56_11 = e1 & op(e1, e0) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7963) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7964) op(e1, e0) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7864), (7964), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_56_15 = e1 & op(e0, e0) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7965) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7966) all_56_15 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_1,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (7839), (7953) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7967) all_38_1 = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7952), (7967) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | (7968) ~ (e2 = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7969) ~ (all_46_2 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6352), (7969) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7970) $false
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7970) is inconsistent.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7971) ( ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e3, e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) all_54_9 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (7972) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) all_52_6 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7973) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) all_52_6 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (7974) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) ~ (all_52_2 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_54_8 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7975), (7976) are inconsistent by
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) ~ (all_54_8 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7978) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_54_8 = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7979) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_52_2 = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7980) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) all_52_2 = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7874), (7981) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) ~ (e3 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (7981) imply:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) op(e1, e3) = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7984) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) all_56_0 = e1 & op(e3, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7985) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) op(e3, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7859), (7986), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_56_2 = e1 & op(e2, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7987) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) all_56_2 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) op(e2, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7990) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) all_56_12 = e2 & op(e0, e3) = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7991) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) all_56_12 = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7993) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7994) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7994) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7995) op(e1, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7983), (7995), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7996) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7996) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7997) all_56_7 = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7998) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7998) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999) op(e0, e0) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7944), (7999), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8000) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8001) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8001) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8002) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7992), (8002) are inconsistent by sub-proof
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1235.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8003) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8003) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8004) all_56_13 = e0 & op(e0, e2) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8004) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8005) all_56_13 = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8006) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8006) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8007) all_56_6 = e2 & op(e1, e3) = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8007) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8008) all_56_6 = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8009) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8009) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8010) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (170), (6354), (7839), (7989), (8010),
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #312.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8011) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8012) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8012) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8013) op(e1, e1) = e2
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (162), (213), (7834), (7838), (8008),
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8013), (function-axioms) are inconsistent by
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #986.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8014) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8014) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8015) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8015) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8016) op(e3, e3) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8017) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8017) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8018) all_56_0 = e0 & op(e3, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8018) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8019) op(e3, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8016), (8019), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8020) all_56_2 = e0 & op(e2, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8020) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8021) all_56_2 = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (7992), (8008), (8016),
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8021), (function-axioms) are inconsistent by
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #311.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8022) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8022) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8023) all_56_6 = e0 & op(e1, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8008), (8023) are inconsistent by sub-proof
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1383.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8024) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8024) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8025) all_56_12 = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7992), (8025) are inconsistent by sub-proof
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8026) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8026) implies:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027) op(e2, e2) = e1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (8027), (function-axioms) are
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8028) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8028) gives:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (6364), (7839), (7859), (7864),
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989), (8029), (function-axioms) are inconsistent
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #310.
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8030) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8030) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8031) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8031) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032) op(e2, e2) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (8032), (function-axioms) are
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (157), (6364), (7837), (7859),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864), (7871), (7944), (7971), (7989), (8033),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #309.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8034) all_56_7 = e2 & op(e1, e2) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8034) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_56_7 = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7997), (8035) imply:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036) e2 = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8036) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8037) e2 = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7992), (8037) imply:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038) all_56_12 = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (7870), (7944), (8005),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038), (function-axioms) are inconsistent by
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #940.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8040) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) op(e1, e1) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7952), (7953), (8041), (function-axioms) are
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (169), (209),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (229), (231), (233), (7833), (7839),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859), (7863), (7870), (7876), (7944), (8005),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042), (function-axioms) are inconsistent by
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #308.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) all_56_14 = e0 & op(e0, e1) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8043) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) op(e0, e1) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7837), (8044), (function-axioms) are
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7839), (7864), (8045),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #307.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) all_56_13 = e2 & op(e0, e2) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8046) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) all_56_13 = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8049) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) op(e1, e3) = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7983), (8050), (function-axioms) are
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8051) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) all_56_7 = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8053) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) op(e0, e0) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7944), (8054), (function-axioms) are
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8055) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8056) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8057) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_56_12 = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8059) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) all_56_6 = e2 & op(e1, e3) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8060) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) all_56_6 = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8062) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (170), (6354), (7839), (7989), (8063),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #312.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8064) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8065) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) op(e1, e1) = e2
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (162), (213), (7834), (7838), (8061),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066), (function-axioms) are inconsistent by
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #986.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8067) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8068) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) op(e3, e3) = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (7988),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061), (8069), (function-axioms) are inconsistent
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #826.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8070) implies:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) op(e2, e2) = e1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (8071), (function-axioms) are
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8072) gives:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (6364), (7839), (7859), (7864),
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989), (8073), (function-axioms) are inconsistent
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #310.
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8074) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8075) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) op(e2, e2) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6359) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) all_56_1 = e3 & op(e3, e2) = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8077) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_56_1 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859), (8078), (function-axioms) are inconsistent
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1331.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (8076), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8079) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_56_7 = e3 & op(e1, e2) = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8080) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_56_7 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (225), (8047), (8076), (8081),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082), (function-axioms) are inconsistent by
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #306.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8083) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8052), (8081) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) all_56_13 = e1 & op(e0, e2) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8084) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) all_56_13 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (208), (7870), (7944), (8058),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085), (function-axioms) are inconsistent by
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #968.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8086) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) all_56_13 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) op(e0, e2) = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (7870),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944), (8087), (8088), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1024.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (157), (6364), (7837), (7859),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864), (7871), (7944), (7971), (7989), (8089),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #309.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) all_56_7 = e2 & op(e1, e2) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8090) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) all_56_7 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8052), (8091) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) e2 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8092) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) e2 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8047), (8093) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) all_56_13 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (208), (209),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837), (7944), (8056), (8058), (8094),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #785.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8095) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8096) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) op(e1, e1) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7952), (7953), (8097), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7863), (8098) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1029.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (7837), (8047), (8099),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7839), (7864), (8100),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #307.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8101) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8102) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_56_14 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7870), (8103) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1065.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8104) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) op(e0, e0) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7884), (7885), (8105), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8106) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8107) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) op(e1, e3) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7983), (8108), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) all_56_12 = e1 & op(e0, e3) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8109) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_56_12 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (157), (206), (208), (7837),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870), (7944), (7966), (8110), (function-axioms)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #305.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_54_8 = e3 | all_54_8 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7833), (7874), (8111) are inconsistent by
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) ~ (all_54_9 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (8112) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) ~ (all_52_6 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8115) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) all_56_6 = e1 & op(e1, e3) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8116) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_56_6 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) op(e1, e3) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8119) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) all_56_6 = e2 & op(e1, e3) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8120) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) op(e1, e3) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8118), (8121), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_56_7 = e2 & op(e1, e2) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8122) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) all_56_7 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8124) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) all_56_1 = e1 & op(e3, e2) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8125) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) all_56_1 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) op(e3, e2) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8113) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) all_54_9 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8128) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) all_52_6 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8129) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) ~ (all_52_2 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (8129) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) ~ (all_52_7 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8131) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) ~ (all_52_7 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6355), (8129) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8133) ~ (e3 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8134) all_54_8 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8134) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8135) all_52_2 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8135) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8136) all_52_2 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8136) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) ~ (all_52_1 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8138) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) all_56_2 = e1 & op(e2, e3) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8137), (8139), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #732.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) all_56_3 = e1 & op(e2, e2) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8140) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) all_56_3 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359), (7859), (8141), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1046.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) all_56_7 = e3 & op(e1, e2) = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8143) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) all_56_7 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8123), (8144) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8145) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) all_56_13 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (6364), (8123), (8126),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146), (function-axioms) are inconsistent by
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #303.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8147) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) all_56_5 = e1 & op(e2, e1) = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8148) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) all_56_5 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) all_54_13 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8150) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) all_52_7 = e1
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7940), (8151) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) $false
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8152) is inconsistent.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) ~ (all_54_13 = e1)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8155) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) all_56_12 = e2 & op(e0, e3) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8156) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) all_56_12 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8158) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) op(e0, e0) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7944), (8159), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8160) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8161) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (169),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (220), (225), (229), (231), (233),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (7833), (7834), (7839), (7859), (7876),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944), (8126), (8162), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8163) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) all_56_13 = e0 & op(e0, e2) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8164) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) all_56_13 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8154) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) all_54_13 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8132), (8166) are inconsistent by
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1006.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8167) ~ (all_54_13 = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8168) all_54_13 = e3 | all_54_13 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8169) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (7859), (8126), (8169),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #959.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8170) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8171) all_56_4 = e0 & op(e3, e1) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7835), (8171), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) all_56_9 = e0 & op(e3, e0) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8172) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) all_56_9 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8174) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) all_56_0 = e0 & op(e3, e3) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8175) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) op(e3, e3) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7859), (8176), (function-axioms) are
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) all_56_2 = e0 & op(e2, e3) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8177) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) all_56_2 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) op(e2, e3) = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8180) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) all_56_9 = e2 & op(e3, e0) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8181) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) all_56_9 = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8173), (8182) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) e2 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8183) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) e2 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8157), (8184) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) all_56_12 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (7859),
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178), (8185), (function-axioms) are inconsistent
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) all_56_10 = e2 & op(e2, e0) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8186) implies:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) op(e2, e0) = e2
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8168) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) all_54_13 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8188) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_52_7 = e3
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6356), (8189) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) $false
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8190) is inconsistent.
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) all_54_13 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8191) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) all_52_7 = e0
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8192) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) ~ (all_52_3 = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6356), (8192) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) ~ (e3 = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7940), (8192) imply:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) ~ (e1 = e0)
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8196) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8197) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8198) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) op(e2, e3) = e2
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (8187), (8199),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7839), (8127), (8200),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #413.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8201) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8202) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) op(e1, e2) = e1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8114), (8203), (function-axioms) are
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8204) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8205) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) op(e3, e3) = e1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (7835), (8126), (8173), (8206),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1173.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8207) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) op(e2, e2) = e1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (8208), (function-axioms) are
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8209) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (6364), (7839), (7859), (7864),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179), (8210), (function-axioms) are inconsistent
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #317.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8211) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8212) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) op(e2, e2) = e2
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (162), (225),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (6355), (8123), (8126), (8127), (8213),
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #798.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8214) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8215) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7837), (7944), (8216), (function-axioms)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #419.
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8217) implies:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) op(e0, e0) = all_57_15
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8219) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8220) gives:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 165.80/24.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8221) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) op(e0, e3) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8193), (8222), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8223) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_57_15 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8218), (8224) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) op(e0, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7884), (7885), (8225), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8226) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8227) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) op(e0, e1) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7837), (8228), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8229) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8230) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) op(e1, e0) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7864), (8231), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8232) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) (all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7839), (7864), (8233), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8234) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (169), (209),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (229), (231), (233), (7833), (7839),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859), (7863), (7870), (7876), (7944), (8165),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235), (function-axioms) are inconsistent by
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #308.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8236) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) op(e0, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7884), (7885), (8237), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8238) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) all_56_6 = e0 & op(e1, e3) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) op(e1, e3) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8118), (8240), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8241) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) all_56_12 = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (169), (208),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (220), (229), (231), (233), (7833), (7839),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859), (7876), (7944), (8165), (8242),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #496.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) all_56_14 = e0 & op(e0, e1) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8243) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) op(e0, e1) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7837), (8244), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) all_56_13 = e2 & op(e0, e2) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8245) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_56_13 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8247) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) op(e0, e0) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7944), (8248), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8249) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8250) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_56_12 = e0 & op(e0, e3) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (169),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (220), (225), (229), (231), (233),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (7833), (7834), (7839), (7859), (7876),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944), (8126), (8251), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (7837), (8246), (8252),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8253) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8254) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_56_14 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (7839), (7876),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149), (8255), (function-axioms) are inconsistent
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #575.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8256) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) op(e0, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7884), (7885), (8257), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_56_10 = e1 & op(e2, e0) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8258) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) all_56_10 = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_56_15 = e0 & op(e0, e0) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7966), (8260) are inconsistent by sub-proof
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #571.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8261) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (211), (212),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (7838), (7859), (7944),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259), (8262), (function-axioms) are inconsistent
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #313.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (140), (143), (144), (191), (192), (195),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (249), (258), (259), (7833), (7834),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874), (7875), (7939), (7940), (8114), (8132),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) are inconsistent by sub-proof #625.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_54_9 = e3 | all_54_9 = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (6355), (7834), (8264) are inconsistent by
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1140.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_56_3 = e1 & op(e2, e2) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8265) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) op(e2, e2) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (8266), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8267) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8268) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_56_7 = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (7839), (7863), (8117),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269), (function-axioms) are inconsistent by
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_56_13 = e1 & op(e0, e2) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8270) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) all_56_13 = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (206),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (229), (231), (233), (7833), (7837),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859), (7944), (8271), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #473.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8272) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8273) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) op(e1, e1) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7952), (7953), (8274), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_56_11 = e2 & op(e1, e0) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8275) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) all_56_11 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7863), (8276) are inconsistent by sub-proof
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1072.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) all_56_7 = e1 & op(e1, e2) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8277) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) op(e1, e2) = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8114), (8278), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7839), (7864), (8279),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #307.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | (8280) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (8280), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | (8281) all_56_15 = e3 & op(e0, e0) = e3
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (8281), (function-axioms) are
% 165.80/24.85 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | (8282) all_54_0 = e0
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | COMBINE_EQS: (279), (8282) imply:
% 165.80/24.85 | | | | | | | | | | | | | | (8283) all_4_2 = e0
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | REDUCE: (7844), (8283) imply:
% 165.80/24.85 | | | | | | | | | | | | | | (8284) $false
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | CLOSE: (8284) is inconsistent.
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | End of split
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | (8285) all_20_2 = e1
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | COMBINE_EQS: (300), (8285) imply:
% 165.80/24.85 | | | | | | | | | | | (8286) all_4_2 = e1
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | COMBINE_EQS: (328), (8286) imply:
% 165.80/24.85 | | | | | | | | | | | (8287) all_30_2 = e1
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | REDUCE: (336), (8286) imply:
% 165.80/24.85 | | | | | | | | | | | (8288) ~ (all_52_1 = e1)
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | REDUCE: (338), (8286) imply:
% 165.80/24.85 | | | | | | | | | | | (8289) ~ (all_52_2 = e1)
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | REDUCE: (340), (8286) imply:
% 165.80/24.85 | | | | | | | | | | | (8290) ~ (all_52_3 = e1)
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | REDUCE: (371), (8286) imply:
% 165.80/24.85 | | | | | | | | | | | (8291) ~ (e2 = e1)
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | BETA: splitting (76) gives:
% 165.80/24.85 | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | (8292) ~ (all_30_2 = e1)
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | REDUCE: (8287), (8292) imply:
% 165.80/24.85 | | | | | | | | | | | | (8293) $false
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | CLOSE: (8293) is inconsistent.
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | (8294) ( ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 165.80/24.85 | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e1, e1)
% 165.80/24.85 | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | BETA: splitting (231) gives:
% 165.80/24.85 | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | (8295) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 165.80/24.85 | | | | | | | | | | | | | & op(e2, e3) = e1)
% 165.80/24.85 | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | BETA: splitting (8295) gives:
% 165.80/24.85 | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | (8296) all_56_0 = e1 & op(e3, e3) = e1
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | ALPHA: (8296) implies:
% 165.80/24.85 | | | | | | | | | | | | | | (8297) all_56_0 = e1
% 165.80/24.85 | | | | | | | | | | | | | | (8298) op(e3, e3) = e1
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | BETA: splitting (6350) gives:
% 165.80/24.85 | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | (8299) ~ (all_12_0 = e0) & op(e2, e3) = all_12_0 &
% 165.80/24.85 | | | | | | | | | | | | | | | $i(all_12_0)
% 165.80/24.85 | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | ALPHA: (8299) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | (8300) ~ (all_12_0 = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | (8301) op(e2, e3) = all_12_0
% 165.80/24.85 | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | BETA: splitting (8294) gives:
% 165.80/24.85 | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | (8302) ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 165.80/24.85 | | | | | | | | | | | | | | | | $i(all_30_0)
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | ALPHA: (8302) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8303) ~ (all_30_0 = e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | (8304) op(e3, e1) = all_30_0
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 165.80/24.85 | | | | | | | | | | | | | | | | all_12_0, e3, e2, simplifying with (167), (8301)
% 165.80/24.85 | | | | | | | | | | | | | | | | gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8305) all_52_1 = all_12_0
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 165.80/24.85 | | | | | | | | | | | | | | | | all_30_0, e1, e3, simplifying with (169), (8304)
% 165.80/24.85 | | | | | | | | | | | | | | | | gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8306) all_52_8 = all_30_0
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8305) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8307) all_54_4 = all_12_0
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | REDUCE: (146), (8305) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8308) ~ (all_52_9 = all_12_0)
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | SIMP: (8308) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8309) ~ (all_52_9 = all_12_0)
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | REDUCE: (6353), (8305) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8310) ~ (all_12_0 = e3)
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | REDUCE: (8288), (8305) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | (8311) ~ (all_12_0 = e1)
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | (8312) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 165.80/24.85 | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | BETA: splitting (8312) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | (8313) all_56_2 = e0 & op(e2, e3) = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | (8314) all_56_2 = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | (8315) all_54_4 = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8307), (8315) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | (8316) all_12_0 = e1
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | REDUCE: (8311), (8316) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | (8317) $false
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | CLOSE: (8317) is inconsistent.
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | (8318) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (8318) gives:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | (8319) all_54_4 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8307), (8319) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | (8320) all_12_0 = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (8309), (8320) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | (8321) ~ (all_52_9 = e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (8310), (8320) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | (8322) ~ (e3 = e2)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (8301), (8320) imply:
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | (8323) op(e2, e3) = e2
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (145), (164), (165), (167), (223),
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | (6363), (8314), (8321), (8323), (function-axioms)
% 165.80/24.85 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8324) all_54_4 = e3 | all_54_4 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8300), (8307), (8310), (8324) are inconsistent by
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | sub-proof #337.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8325) all_56_3 = e0 & op(e2, e2) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | ALPHA: (8325) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8326) op(e2, e2) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6364), (8326), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | (8327) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | BETA: splitting (8327) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8328) all_56_5 = e0 & op(e2, e1) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7836), (8328), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8329) all_56_10 = e0 & op(e2, e0) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | ALPHA: (8329) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8330) all_56_10 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | (8331) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (373), (8288), (8331),
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | #731.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | (8332) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (8332) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8333) all_56_5 = e1 & op(e2, e1) = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | ALPHA: (8333) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8334) all_56_5 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | (8335) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8335) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8336) all_56_4 = e2 & op(e3, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8336) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8337) op(e3, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8303), (8304), (8337), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #898.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8338) all_56_5 = e2 & op(e2, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8338) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8339) all_56_5 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8334), (8339) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | #951.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | (8340) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8340) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8341) all_56_8 = e2 & op(e1, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8341) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8342) op(e1, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7839), (8342), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8343) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8343) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8344) all_56_14 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8345) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8345) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | (8346) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8346) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | (8347) all_56_12 = e3
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8348) all_54_4 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8307), (8311), (8348) are inconsistent by
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #301.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8349) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8349) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8350) all_54_4 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8307), (8350) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8351) all_12_0 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8351) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8352) all_12_0 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8309), (8352) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8353) ~ (all_52_9 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8310), (8352) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8354) ~ (e3 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8301), (8352) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8355) op(e2, e3) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (145), (163), (164), (165),
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (223), (229), (6363), (7833), (8297),
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8347), (8353), (8355), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #333.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8356) all_54_4 = e3 | all_54_4 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8300), (8307), (8310), (8356) are inconsistent by
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #337.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | (8357) all_56_13 = e3 & op(e0, e2) = e3
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6356), (8357), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #389.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8358) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (372), (8344), (8358),
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | #300.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8359) all_56_10 = e1 & op(e2, e0) = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | ALPHA: (8359) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8360) all_56_10 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8330), (8360) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | #840.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | (8361) ~ (all_30_1 = e0) & op(e1, e1) = all_30_1 &
% 165.80/24.86 | | | | | | | | | | | | | | | | $i(all_30_1)
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | ALPHA: (8361) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | (8362) ~ (all_30_1 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | (8363) op(e1, e1) = all_30_1
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | REF_CLOSE: (7839), (8362), (8363), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | (8364) ~ (all_12_1 = e1) & op(e3, e3) = all_12_1 &
% 165.80/24.86 | | | | | | | | | | | | | | | $i(all_12_1)
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | REF_CLOSE: (8298), (8364), (function-axioms) are inconsistent
% 165.80/24.86 | | | | | | | | | | | | | | | by sub-proof #299.
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | (8365) all_56_2 = e1 & op(e2, e3) = e1
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | REF_CLOSE: (167), (8288), (8365), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | inconsistent by sub-proof #732.
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | (8366) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 165.80/24.86 | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | REF_CLOSE: (159), (163), (8289), (8290), (8366),
% 165.80/24.86 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | | | #957.
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | End of split
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | (8367) all_18_2 = e0
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | COMBINE_EQS: (327), (8367) imply:
% 165.80/24.86 | | | | | | | | | | (8368) all_4_2 = e0
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | COMBINE_EQS: (281), (8368) imply:
% 165.80/24.86 | | | | | | | | | | (8369) all_48_2 = e0
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | REDUCE: (336), (8368) imply:
% 165.80/24.86 | | | | | | | | | | (8370) ~ (all_52_1 = e0)
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | REDUCE: (340), (8368) imply:
% 165.80/24.86 | | | | | | | | | | (8371) ~ (all_52_3 = e0)
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | REDUCE: (342), (8368) imply:
% 165.80/24.86 | | | | | | | | | | (8372) ~ (all_52_4 = e0)
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | REDUCE: (36), (8368) imply:
% 165.80/24.86 | | | | | | | | | | (8373) op(e3, e3) = e0
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | BETA: splitting (225) gives:
% 165.80/24.86 | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | (8374) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 165.80/24.86 | | | | | | | | | | | & op(e2, e2) = e0)
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | REF_CLOSE: (7), (170), (6364), (8372), (8374),
% 165.80/24.86 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | #326.
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | (8375) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 165.80/24.86 | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | BETA: splitting (8375) gives:
% 165.80/24.86 | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | (8376) all_56_7 = e0 & op(e1, e2) = e0
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | REF_CLOSE: (162), (7834), (8376), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | (8377) all_56_13 = e0 & op(e0, e2) = e0
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | ALPHA: (8377) implies:
% 165.80/24.86 | | | | | | | | | | | | (8378) op(e0, e2) = e0
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | BETA: splitting (100) gives:
% 165.80/24.86 | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | (8379) ~ (all_46_2 = e3)
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | REDUCE: (6352), (8379) imply:
% 165.80/24.86 | | | | | | | | | | | | | (8380) $false
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | CLOSE: (8380) is inconsistent.
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | (8381) ( ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 165.80/24.86 | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e3, e3)
% 165.80/24.86 | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | BETA: splitting (8381) gives:
% 165.80/24.86 | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | (8382) ~ (all_46_0 = e1) & op(e2, e3) = all_46_0 &
% 165.80/24.86 | | | | | | | | | | | | | | $i(all_46_0)
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | ALPHA: (8382) implies:
% 165.80/24.86 | | | | | | | | | | | | | | (8383) ~ (all_46_0 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | (8384) op(e2, e3) = all_46_0
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 165.80/24.86 | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | (8385) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (6364), (8370), (8385),
% 165.80/24.86 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.86 | | | | | | | | | | | | | | | #298.
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | (8386) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 165.80/24.86 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | BETA: splitting (8386) gives:
% 165.80/24.86 | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | (8387) all_56_5 = e0 & op(e2, e1) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7836), (8387), (function-axioms) are
% 165.80/24.86 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | (8388) all_56_10 = e0 & op(e2, e0) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | ALPHA: (8388) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | (8389) op(e2, e0) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | (8390) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | BETA: splitting (8390) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8391) all_56_0 = e0 & op(e3, e3) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 165.80/24.86 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8378) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8392) all_52_7 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 165.80/24.86 | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (8389) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8393) all_52_13 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 165.80/24.86 | | | | | | | | | | | | | | | | | | all_46_0, e3, e2, simplifying with (167), (8384)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8394) all_52_1 = all_46_0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8394) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8395) all_54_4 = all_46_0
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (148), (8394) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8396) ~ (all_52_3 = all_46_0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | SIMP: (8396) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8397) ~ (all_52_3 = all_46_0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (146), (8394) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8398) ~ (all_52_9 = all_46_0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | SIMP: (8398) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8399) ~ (all_52_9 = all_46_0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (6353), (8394) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8400) ~ (all_46_0 = e3)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (8370), (8394) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8401) ~ (all_46_0 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (125), (8392) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8402) ~ (all_52_11 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (110), (8393) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8403) ~ (all_52_14 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (369), (8393) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8404) ~ (all_6_2 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | SIMP: (8404) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8405) ~ (all_6_2 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | REDUCE: (6358), (8393) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | (8406) ~ (e3 = e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | (8407) all_54_4 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8383), (8395), (8407) are inconsistent by
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | sub-proof #336.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | (8408) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (8408) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8409) all_54_4 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8395), (8409) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8410) all_46_0 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | SIMP: (8410) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8411) all_46_0 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (8397), (8411) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8412) ~ (all_52_3 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (8399), (8411) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8413) ~ (all_52_9 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (8400), (8411) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8414) ~ (e3 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (8384), (8411) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | (8415) op(e2, e3) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | (8416) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8416) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8417) all_56_2 = e2 & op(e2, e3) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8417) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | (8418) all_56_2 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8419) all_54_6 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8419) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8420) all_52_9 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8420) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8421) all_52_9 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8421) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8422) ~ (all_52_8 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8421) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8423) ~ (all_52_11 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8423) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8424) ~ (all_52_11 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8413), (8421) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | (8425) ~ (e2 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | (8426) ~ (all_22_2 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (8426) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | (8427) ~ (all_6_2 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8428) all_54_15 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8428) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8429) all_6_2 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8427), (8429) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8430) $false
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8430) is inconsistent.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8431) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8431) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) all_54_15 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8432) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_6_2 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8433) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) ~ (all_52_11 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) all_54_14 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8424), (8435) are inconsistent by
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) ~ (all_54_14 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8437) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) all_54_14 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8434), (8438) are inconsistent by
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8439) all_54_14 = e3 | all_54_14 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8439) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_54_14 = e3
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8440) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8441) all_52_11 = e3
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8441) implies:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8442) all_52_11 = e3
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8442) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8443) ~ (all_52_3 = e3)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8442) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444) ~ (all_52_8 = e3)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8445) all_54_2 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8445) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) all_52_8 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8422), (8446) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) $false
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8447) is inconsistent.
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) ~ (all_54_2 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8449) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) all_54_2 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8450) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) all_52_8 = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8451) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8452) ~ (all_52_4 = e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (8451) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8453) op(e3, e1) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8454) all_54_1 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8454) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455) all_52_4 = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6354), (8455) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456) ~ (e3 = e1)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (8455) imply:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8457) op(e3, e2) = e1
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8458) gives:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8459) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8460) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) op(e3, e2) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8457), (8461), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1186.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8462) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8463) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) op(e3, e2) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8452), (8464), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8465) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) op(e3, e1) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8453), (8466), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (8371), (8422), (8443), (8467),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #386.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8468) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8470) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) op(e2, e1) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8413), (8471), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8472) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8473) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) op(e2, e2) = all_57_12
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) ~ (all_57_12 = e3) | ( ~ (all_57_0 = e2) & op(e2,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_0 & $i(all_57_0))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6364), (8415), (8474), (8475), (function-axioms)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #375.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) op(e2, e0) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (8415), (8477),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (6364), (7838), (8415), (8424),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478), (function-axioms) are inconsistent by
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #356.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (6354), (8372), (8452), (8479) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_54_2 = e3 | all_54_2 = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7835), (8444), (8480) are inconsistent by
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1157.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) all_54_14 = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7837), (8481) are inconsistent by
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_54_15 = e3 | all_54_15 = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (8405), (8482) are inconsistent by
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_22_2 = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8484) ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (8483) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8485) all_6_2 = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8485) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_6_2 = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (8486) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8487) ~ (all_52_3 = e1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (8486) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8488) ~ (all_52_12 = e1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8486) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | (8489) op(e0, e0) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8490) ~ (all_48_2 = e0)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8369), (8490) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8491) $false
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8491) is inconsistent.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8492) ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8373), (8418), (8493),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8494) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) all_56_6 = e3 & op(e1, e3) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8495) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) op(e1, e3) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (192), (249), (8371), (8412),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487), (8496), (function-axioms) are inconsistent
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #804.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) all_56_12 = e3 & op(e0, e3) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8497) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) all_56_12 = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) op(e0, e3) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8500) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_56_0 = e1 & op(e3, e3) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8501) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) all_56_0 = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (145), (163), (164), (165),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (223), (229), (6363), (7833), (8413),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8415), (8498), (8502), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #333.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) all_56_1 = e1 & op(e3, e2) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8503) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) op(e3, e2) = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8492) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_0)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8505) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) ~ (all_48_0 = e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) op(e3, e0) = all_48_0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8508) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) all_56_12 = e2 & op(e0, e3) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8509) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) op(e0, e3) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8499), (8510), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_56_13 = e2 & op(e0, e2) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) all_56_13 = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (206), (7837), (8489),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498), (8512), (function-axioms) are inconsistent
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #766.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8513) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_56_14 = e2 & op(e0, e1) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8514) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) op(e0, e1) = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) all_54_12 = e1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8487), (8516) are inconsistent by
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #808.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) ~ (all_54_12 = e1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8518) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) all_54_12 = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8412), (8519) are inconsistent by
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #807.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) ~ (all_54_12 = e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) all_54_12 = e3 | all_54_12 = e0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8521) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) all_54_12 = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (8522) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) all_52_3 = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8523) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) all_52_3 = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8524) imply:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) ~ (all_52_11 = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8525) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) ~ (all_52_11 = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8484) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8527) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) ~ (all_22_0 = e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) op(e0, e1) = all_22_0
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8515), (8528), (8529), (function-axioms) are
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #720.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8530) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) ~ (all_22_1 = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) op(e1, e1) = all_22_1
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8533) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) all_56_4 = e3 & op(e3, e1) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8534) implies:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) op(e3, e1) = e3
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8373), (8504), (8536),
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #321.
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8537) gives:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) all_56_4 = e2 & op(e3, e1) = e2
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8538) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) op(e3, e1) = e2
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8535), (8539), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1178.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) all_56_9 = e2 & op(e3, e0) = e2
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8540) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) op(e3, e0) = e2
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8506), (8507), (8541), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) all_56_5 = e3 & op(e2, e1) = e3
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8542) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) all_56_5 = e3
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) op(e2, e1) = e3
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8545) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8545) gives:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8546) all_56_2 = e1 & op(e2, e3) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8546) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8547) op(e2, e3) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8415), (8547), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8548) all_56_3 = e1 & op(e2, e2) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8548) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8549) op(e2, e2) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (373), (8549), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8550) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8550) gives:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551) all_56_5 = e1 & op(e2, e1) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8551) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8552) op(e2, e1) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (8544), (8552), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8553) all_56_10 = e1 & op(e2, e0) = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8553) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8554) all_56_10 = e1
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (145), (164), (165), (167),
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (6363), (6364), (8413), (8415),
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543), (8554), (function-axioms) are inconsistent
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #354.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8555) gives:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8556) all_56_8 = e3 & op(e1, e1) = e3
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8556) implies:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8557) op(e1, e1) = e3
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8531), (8532), (8557), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #933.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8558) all_56_14 = e3 & op(e0, e1) = e3
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8526), (8558), (function-axioms) are
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8559) all_54_12 = e0
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (8371), (8559) are inconsistent by
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #806.
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8560) all_56_15 = e2 & op(e0, e0) = e2
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 165.80/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8560) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561) op(e0, e0) = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8489), (8561), (function-axioms) are
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8562) ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8562) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8563) ~ (all_48_1 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564) op(e0, e0) = all_48_1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8489), (8563), (8564), (function-axioms) are
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (8422), (8488), (8565),
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #297.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | (8566) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6357), (7836), (8413), (8566) are
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1158.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | (8567) all_56_3 = e2 & op(e2, e2) = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8567) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | (8568) op(e2, e2) = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6364), (8568), (function-axioms) are
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | (8569) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (165), (167), (8413), (8415),
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | (8569), (function-axioms) are inconsistent by
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | sub-proof #361.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8570) all_54_4 = e3 | all_54_4 = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (6353), (8370), (8570) are inconsistent by
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | sub-proof #1314.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | (8571) all_56_2 = e0 & op(e2, e3) = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8370), (8571), (function-axioms) are
% 166.04/24.88 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | (8572) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (7833), (8371), (8572),
% 166.04/24.88 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.88 | | | | | | | | | | | | | | | | | #392.
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | (8573) ~ (all_46_1 = e0) & op(e3, e3) = all_46_1 &
% 166.04/24.88 | | | | | | | | | | | | | | $i(all_46_1)
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | ALPHA: (8573) implies:
% 166.04/24.88 | | | | | | | | | | | | | | (8574) ~ (all_46_1 = e0)
% 166.04/24.88 | | | | | | | | | | | | | | (8575) op(e3, e3) = all_46_1
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | REF_CLOSE: (8373), (8574), (8575), (function-axioms) are
% 166.04/24.88 | | | | | | | | | | | | | | inconsistent by sub-proof #320.
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | End of split
% 166.04/24.88 | | | | | | | | |
% 166.04/24.88 | | | | | | | | End of split
% 166.04/24.88 | | | | | | | |
% 166.04/24.88 | | | | | | | End of split
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | End of split
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | Case 2:
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | (8576) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 166.04/24.88 | | | | | | op(e0, e2) = e3)
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | BETA: splitting (8576) gives:
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | Case 1:
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | (8577) all_56_7 = e3 & op(e1, e2) = e3
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | REF_CLOSE: (162), (6355), (8577), (function-axioms) are
% 166.04/24.88 | | | | | | | inconsistent by sub-proof #1279.
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | Case 2:
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | (8578) all_56_13 = e3 & op(e0, e2) = e3
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | REF_CLOSE: (158), (6356), (8578), (function-axioms) are
% 166.04/24.88 | | | | | | | inconsistent by sub-proof #389.
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | End of split
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | End of split
% 166.04/24.88 | | | | |
% 166.04/24.88 | | | | End of split
% 166.04/24.88 | | | |
% 166.04/24.88 | | | Case 2:
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | (8579) all_10_2 = e1
% 166.04/24.88 | | | | (8580) ( ~ (all_10_0 = e3) & op(e2, e1) = all_10_0 & $i(all_10_0)) |
% 166.04/24.88 | | | | ( ~ (all_10_1 = e0) & op(e1, e1) = all_10_1 & $i(all_10_1))
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | COMBINE_EQS: (302), (8579) imply:
% 166.04/24.88 | | | | (8581) all_34_2 = e1
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | REDUCE: (347), (8579) imply:
% 166.04/24.88 | | | | (8582) ~ (all_52_1 = e1)
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | REDUCE: (350), (8579) imply:
% 166.04/24.88 | | | | (8583) ~ (all_52_4 = e1)
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | REDUCE: (352), (8579) imply:
% 166.04/24.88 | | | | (8584) ~ (all_52_6 = e1)
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | REDUCE: (354), (8579) imply:
% 166.04/24.88 | | | | (8585) ~ (all_52_7 = e1)
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | REDUCE: (356), (8579) imply:
% 166.04/24.88 | | | | (8586) ~ (all_52_9 = e1)
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | REDUCE: (358), (8579) imply:
% 166.04/24.88 | | | | (8587) ~ (all_52_13 = e1)
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | BETA: splitting (226) gives:
% 166.04/24.88 | | | |
% 166.04/24.88 | | | | Case 1:
% 166.04/24.88 | | | | |
% 166.04/24.88 | | | | | (8588) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 166.04/24.88 | | | | | e2) = e1)
% 166.04/24.88 | | | | |
% 166.04/24.88 | | | | | BETA: splitting (8588) gives:
% 166.04/24.88 | | | | |
% 166.04/24.88 | | | | | Case 1:
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | (8589) all_56_1 = e1 & op(e3, e2) = e1
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | REF_CLOSE: (170), (8583), (8589), (function-axioms) are inconsistent
% 166.04/24.88 | | | | | | by sub-proof #730.
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | Case 2:
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | (8590) all_56_3 = e1 & op(e2, e2) = e1
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | ALPHA: (8590) implies:
% 166.04/24.88 | | | | | | (8591) all_56_3 = e1
% 166.04/24.88 | | | | | | (8592) op(e2, e2) = e1
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | BETA: splitting (52) gives:
% 166.04/24.88 | | | | | |
% 166.04/24.88 | | | | | | Case 1:
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | (8593) ~ (all_14_2 = e0)
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | BETA: splitting (58) gives:
% 166.04/24.88 | | | | | | |
% 166.04/24.88 | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | |
% 166.04/24.88 | | | | | | | | (8594) ~ (all_18_2 = e0)
% 166.04/24.88 | | | | | | | |
% 166.04/24.88 | | | | | | | | REDUCE: (327), (8594) imply:
% 166.04/24.88 | | | | | | | | (8595) ~ (all_4_2 = e0)
% 166.04/24.88 | | | | | | | |
% 166.04/24.88 | | | | | | | | BETA: splitting (61) gives:
% 166.04/24.88 | | | | | | | |
% 166.04/24.88 | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | |
% 166.04/24.88 | | | | | | | | | (8596) ~ (all_20_2 = e1)
% 166.04/24.88 | | | | | | | | |
% 166.04/24.88 | | | | | | | | | REDUCE: (300), (8596) imply:
% 166.04/24.88 | | | | | | | | | (8597) ~ (all_4_2 = e1)
% 166.04/24.88 | | | | | | | | |
% 166.04/24.88 | | | | | | | | | BETA: splitting (204) gives:
% 166.04/24.88 | | | | | | | | |
% 166.04/24.88 | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | (8598) all_54_0 = e1
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | COMBINE_EQS: (279), (8598) imply:
% 166.04/24.88 | | | | | | | | | | (8599) all_4_2 = e1
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | REDUCE: (8597), (8599) imply:
% 166.04/24.88 | | | | | | | | | | (8600) $false
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | CLOSE: (8600) is inconsistent.
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | (8601) ~ (all_54_0 = e1)
% 166.04/24.88 | | | | | | | | | | (8602) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | BETA: splitting (8602) gives:
% 166.04/24.88 | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | (8603) all_54_0 = e2
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | COMBINE_EQS: (279), (8603) imply:
% 166.04/24.88 | | | | | | | | | | | (8604) all_4_2 = e2
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | REDUCE: (371), (8604) imply:
% 166.04/24.88 | | | | | | | | | | | (8605) $false
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | CLOSE: (8605) is inconsistent.
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | (8606) ~ (all_54_0 = e2)
% 166.04/24.88 | | | | | | | | | | | (8607) all_54_0 = e3 | all_54_0 = e0
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | BETA: splitting (8607) gives:
% 166.04/24.88 | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | (8608) all_54_0 = e3
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | COMBINE_EQS: (279), (8608) imply:
% 166.04/24.88 | | | | | | | | | | | | (8609) all_4_2 = e3
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | REDUCE: (336), (8609) imply:
% 166.04/24.88 | | | | | | | | | | | | (8610) ~ (all_52_1 = e3)
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | REDUCE: (338), (8609) imply:
% 166.04/24.88 | | | | | | | | | | | | (8611) ~ (all_52_2 = e3)
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | REDUCE: (340), (8609) imply:
% 166.04/24.88 | | | | | | | | | | | | (8612) ~ (all_52_3 = e3)
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | REDUCE: (342), (8609) imply:
% 166.04/24.88 | | | | | | | | | | | | (8613) ~ (all_52_4 = e3)
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | REDUCE: (344), (8609) imply:
% 166.04/24.88 | | | | | | | | | | | | (8614) ~ (all_52_8 = e3)
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | REDUCE: (36), (8609) imply:
% 166.04/24.88 | | | | | | | | | | | | (8615) op(e3, e3) = e3
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | BETA: splitting (64) gives:
% 166.04/24.88 | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | (8616) ~ (all_22_2 = e1)
% 166.04/24.88 | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | REDUCE: (310), (8616) imply:
% 166.04/24.88 | | | | | | | | | | | | | (8617) ~ (all_6_2 = e1)
% 166.04/24.88 | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 166.04/24.88 | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | (8618) ~ (all_24_2 = e2)
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | REDUCE: (322), (8618) imply:
% 166.04/24.88 | | | | | | | | | | | | | | (8619) ~ (all_14_2 = e2)
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 166.04/24.88 | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | (8620) ~ (all_26_2 = e3)
% 166.04/24.88 | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | REDUCE: (303), (8620) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | (8621) ~ (all_14_2 = e3)
% 166.04/24.88 | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 166.04/24.88 | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | (8622) all_54_10 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (8622) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8623) all_14_2 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | SIMP: (8623) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8624) all_14_2 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | REDUCE: (348), (8624) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8625) ~ (all_52_2 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | REDUCE: (361), (8624) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8626) ~ (all_52_8 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | REDUCE: (366), (8624) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8627) ~ (all_52_14 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | REDUCE: (8621), (8624) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8628) ~ (e3 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | REDUCE: (8619), (8624) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8629) ~ (e2 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | REDUCE: (51), (8624) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | (8630) op(e1, e1) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | (8631) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (8583), (8615), (8631),
% 166.04/24.88 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.88 | | | | | | | | | | | | | | | | | #296.
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | (8632) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | BETA: splitting (8632) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | (8633) all_56_4 = e1 & op(e3, e1) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | ALPHA: (8633) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | (8634) op(e3, e1) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8626), (8634), (function-axioms) are
% 166.04/24.88 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | (8635) all_56_9 = e1 & op(e3, e0) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | ALPHA: (8635) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | (8636) op(e3, e0) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | (8637) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (8637) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8638) all_56_12 = e1 & op(e0, e3) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (8638) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8639) op(e0, e3) = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8639) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8640) all_52_3 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (8636) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8641) all_52_12 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8640) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8642) ~ (all_52_11 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | SIMP: (8642) implies:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8643) ~ (all_52_11 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (8641) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | (8644) ~ (all_6_2 = e1)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | (8645) ~ (all_32_2 = e2)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (8645) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | (8646) ~ (all_6_2 = e2)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | (8647) all_54_15 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8647) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | (8648) all_6_2 = e1
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8617), (8648) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | (8649) $false
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8649) is inconsistent.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | (8650) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8650) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | (8651) all_54_15 = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8651) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | (8652) all_6_2 = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8646), (8652) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | (8653) $false
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8653) is inconsistent.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | (8654) all_54_15 = e3 | all_54_15 = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8654) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8655) all_54_15 = e3
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8655) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_6_2 = e3
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (8656) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8657) $false
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8657) is inconsistent.
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_54_15 = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8658) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8659) all_6_2 = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (8659) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8660) ~ (all_52_7 = e0)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (8659) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8661) ~ (all_52_14 = e0)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8659) imply:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | (8662) op(e0, e0) = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (8663) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8663) gives:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.04/24.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (8611), (8613), (8615), (8664),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (8612), (8615), (8626), (8665),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #384.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8666) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8666) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8584), (8630), (8662), (8667),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | #903.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (160), (8643), (8660), (8661),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8668), (function-axioms) are inconsistent by
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #802.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (8669) all_32_2 = e2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (8669) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (8670) all_6_2 = e2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8670) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (8671) ~ (all_52_11 = e2)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (8670) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (8672) ~ (all_52_13 = e2)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8673) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8673) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8674) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (170), (8611), (8613), (8615), (8674),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | #1397.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8675) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (8612), (8615), (8626), (8675),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | #384.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8676) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8676) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8677) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (8584), (8630), (8672), (8677),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | #705.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8678) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8678) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8679) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8680) op(e0, e2) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8681) op(e2, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8680) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_52_7 = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (8681) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8683) all_52_13 = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8683) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8684) ~ (all_52_1 = e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8682) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8685) ~ (all_52_11 = e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8685) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8686) ~ (all_52_11 = e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (8683) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8687) ~ (all_52_9 = e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8688) all_54_14 = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8688) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8689) all_52_11 = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8643), (8689) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8690) $false
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8690) is inconsistent.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8691) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) all_54_14 = e2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8692) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) all_52_11 = e2
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8671), (8693) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) $false
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8694) is inconsistent.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) all_54_14 = e3 | all_54_14 = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8695) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_54_14 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8696) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) all_52_11 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8697) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) all_52_11 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8698) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) ~ (all_52_9 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (198), (200), (261), (269), (8582), (8586),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610), (8684), (8687), (8699) are inconsistent by
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #383.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) all_54_14 = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8686), (8700) are inconsistent by
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8701) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8630), (8643), (8701), (function-axioms)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #896.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | (8702) all_56_13 = e1 & op(e0, e2) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8585), (8702), (function-axioms) are
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | (8703) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (8703) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | (8704) all_56_14 = e1 & op(e0, e1) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (8704) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | (8705) all_56_14 = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (8706) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8706) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8707) all_56_12 = e3 & op(e0, e3) = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8707) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8708) all_56_12 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (233), (8615), (8625), (8708), (function-axioms)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #997.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8709) all_56_13 = e3 & op(e0, e2) = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8709) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8710) all_56_13 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | (8711) op(e0, e2) = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8712) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8712) gives:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8713) all_56_4 = e3 & op(e3, e1) = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8713) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8714) op(e3, e1) = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8614), (8714), (function-axioms) are
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8715) all_56_5 = e3 & op(e2, e1) = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8715) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_56_5 = e3
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (162), (163),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (219), (8584), (8625), (8627),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | (8630), (8705), (8716), (function-axioms) are
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #294.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8717) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | (8630), (8710), (8711), (8717), (function-axioms)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #293.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (8718) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (372), (8705), (8718),
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | | #650.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | (8719) all_56_15 = e1 & op(e0, e0) = e1
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8617), (8719), (function-axioms) are
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | (8720) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | REF_CLOSE: (334), (8593), (8619), (8621), (8720) are
% 166.04/24.89 | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | End of split
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | (8721) all_26_2 = e3
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | COMBINE_EQS: (303), (8721) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | (8722) all_14_2 = e3
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | SIMP: (8722) implies:
% 166.04/24.89 | | | | | | | | | | | | | | | (8723) all_14_2 = e3
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | REDUCE: (362), (8723) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | (8724) ~ (all_52_9 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | REDUCE: (364), (8723) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | (8725) ~ (all_52_11 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | REDUCE: (366), (8723) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | (8726) ~ (all_52_14 = e3)
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | REDUCE: (51), (8723) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | (8727) op(e1, e1) = e3
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 166.04/24.89 | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | Case 1:
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | (8728) ~ (all_34_2 = e1)
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | REDUCE: (8581), (8728) imply:
% 166.04/24.89 | | | | | | | | | | | | | | | | (8729) $false
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | | CLOSE: (8729) is inconsistent.
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.89 | | | | | | | | | | | | | | | Case 2:
% 166.04/24.89 | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | (8730) ( ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.04/24.90 | | | | | | | | | | | | | | | | $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e1, e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 166.04/24.90 | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | (8731) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | BETA: splitting (8731) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8732) all_56_2 = e3 & op(e2, e3) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | ALPHA: (8732) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8733) all_56_2 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | (8734) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (8734) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8735) all_56_9 = e3 & op(e3, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (8735) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8736) all_56_9 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8615), (8736), (function-axioms) are inconsistent
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | by sub-proof #1295.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8737) all_56_10 = e3 & op(e2, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (8737) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8738) op(e2, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (8592),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8733), (8738), (function-axioms) are inconsistent
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | by sub-proof #289.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | (8739) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (8739) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8740) all_56_11 = e3 & op(e1, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8726), (8740), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8741) all_56_15 = e3 & op(e0, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (8741), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8742) all_56_3 = e3 & op(e2, e2) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | ALPHA: (8742) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8743) op(e2, e2) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8592), (8743), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | End of split
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | (8744) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | BETA: splitting (8744) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8745) all_56_5 = e3 & op(e2, e1) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (212),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (221), (222), (223), (230), (232), (234), (372),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8615), (8726), (8745), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8746) all_56_10 = e3 & op(e2, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | ALPHA: (8746) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8747) all_56_10 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | (8748) op(e2, e0) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | (8749) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (8749) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8750) all_56_12 = e3 & op(e0, e3) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (8750) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8751) op(e0, e3) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8612), (8751), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #388.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8752) all_56_13 = e3 & op(e0, e2) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (8752) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8753) all_56_13 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | (8754) op(e0, e2) = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8730) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8755) ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | $i(all_34_0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8755) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8756) ~ (all_34_0 = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8757) op(e2, e1) = all_34_0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8754) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8758) all_52_7 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (8748) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8759) all_52_13 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | all_34_0, e1, e2, simplifying with (165), (8757)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8760) all_52_9 = all_34_0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8760) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8761) all_54_6 = all_34_0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8760) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8762) ~ (all_52_1 = all_34_0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8758) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8763) ~ (all_52_11 = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8760) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8764) ~ (all_52_8 = all_34_0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8760) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8765) ~ (all_52_11 = all_34_0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | SIMP: (8765) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8766) ~ (all_52_11 = all_34_0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8724), (8760) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8767) ~ (all_34_0 = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8760) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8768) ~ (all_34_0 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (8759) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | (8769) ~ (all_6_2 = e3)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | (8770) ~ (all_32_2 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (8770) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | (8771) ~ (all_6_2 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | (8772) all_54_15 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8617), (8772) are inconsistent by
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | (8773) ~ (all_54_15 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | (8774) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | (8775) all_54_6 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8761), (8775) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | (8776) all_34_0 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8768), (8776) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | (8777) $false
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8777) is inconsistent.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | (8778) ~ (all_54_6 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | (8779) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8779) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8780) all_54_6 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8761), (8780) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8781) all_34_0 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8762), (8781) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8782) ~ (all_52_1 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8764), (8781) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8783) ~ (all_52_8 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8766), (8781) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8784) ~ (all_52_11 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8767), (8781) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8785) ~ (e3 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) all_54_4 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8786) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) all_52_1 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (8787) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) $false
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8788) is inconsistent.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) ~ (all_54_4 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8790) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) all_54_4 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8791) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) all_52_1 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8782), (8792) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) $false
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8793) is inconsistent.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) ~ (all_54_4 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) all_54_4 = e3 | all_54_4 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8796) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) all_56_4 = e2 & op(e3, e1) = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8783), (8797), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) all_56_5 = e2 & op(e2, e1) = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8798) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) all_56_5 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8800) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) all_56_2 = e0 & op(e2, e3) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8801) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_56_2 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) op(e2, e3) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8774) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_54_15 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8771), (8804) are inconsistent by
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) ~ (all_54_15 = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) all_54_15 = e3 | all_54_15 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8807) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) all_56_12 = e2 & op(e0, e3) = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8808) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) all_56_12 = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) op(e0, e3) = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (8582), (8615), (8811),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #287.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8812) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) all_56_6 = e1 & op(e1, e3) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8813) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) op(e1, e3) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8815) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) all_56_12 = e1 & op(e0, e3) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8809), (8816) are inconsistent by sub-proof
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #651.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) all_56_13 = e1 & op(e0, e2) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8585), (8817), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8818) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) all_56_14 = e1 & op(e0, e1) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8819) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) all_56_14 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8821) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) all_56_4 = e0 & op(e3, e1) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8822) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) all_56_4 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (227),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591), (8592), (8615), (8753), (8754), (8824),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1033.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8825) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) all_56_4 = e1 & op(e3, e1) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8826) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) all_56_4 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8823), (8827) are inconsistent by sub-proof
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) all_56_9 = e1 & op(e3, e0) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8828) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) all_56_9 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8806) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) all_54_15 = e3
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (8830) are inconsistent by sub-proof
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) all_54_15 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8831) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) all_6_2 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8832) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) all_6_2 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (8833) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) ~ (all_52_3 = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8833) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) ~ (all_52_11 = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (8833) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) ~ (all_52_14 = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (8833) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) ~ (e3 = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8771), (8833) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) ~ (e2 = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8833) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) op(e0, e0) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_54_14 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8840) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) all_52_11 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8841) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_52_11 = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8842) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) ~ (all_52_8 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8725), (8842) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) ~ (e3 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8784), (8842) imply:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) ~ (e2 = e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8846) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_56_1 = e0 & op(e3, e2) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8847) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_56_1 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (8615), (8823), (8829),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848), (function-axioms) are inconsistent by
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1112.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) all_56_3 = e0 & op(e2, e2) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8849) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) op(e2, e2) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (8850), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_56_7 = e0 & op(e1, e2) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8852) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_56_7 = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) op(e1, e2) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8855) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (170), (8611), (8613), (8803), (8856),
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #285.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8857) gives:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8858) implies:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) op(e3, e1) = e1
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8843), (8859), (function-axioms) are
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (8810), (8834), (8860),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8861) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8862) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8863) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) op(e1, e1) = all_57_14
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) ~ (all_57_14 = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & $i(all_57_1))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8727), (8814), (8864), (8865), (function-axioms)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #635.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8866) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8867) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) op(e1, e2) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8854), (8868), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8869) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) op(e0, e2) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (228), (230), (232),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (8591), (8615), (8853), (8870),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #284.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8871) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8872) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) op(e0, e2) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8754), (8873), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (160), (211), (8747), (8829),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836), (8839), (8874), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #283.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_56_13 = e0 & op(e0, e2) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8875) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) op(e0, e2) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8754), (8876), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8725), (8784), (8835), (8877) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #282.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_56_5 = e0 & op(e2, e1) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8878) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_56_5 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8799), (8879) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) e2 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8809), (8880) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_56_12 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (8615),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802), (8881), (function-axioms) are inconsistent
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1245.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8727), (8820), (8882),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #281.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) all_56_15 = e1 & op(e0, e0) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8617), (8883), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_56_12 = e1 & op(e0, e3) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8884) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_56_12 = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8809), (8885) are inconsistent by sub-proof
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1234.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) all_56_13 = e2 & op(e0, e2) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8886) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) op(e0, e2) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8754), (8887), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8888) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) all_56_14 = e2 & op(e0, e1) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8889) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_56_14 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (8727),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799), (8890), (function-axioms) are inconsistent
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #280.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) all_56_15 = e2 & op(e0, e0) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8891) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) op(e0, e0) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (8771), (8806), (8892),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #352.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) all_56_3 = e0 & op(e2, e2) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8893) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) op(e2, e2) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (8894), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8895) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) all_56_5 = e0 & op(e2, e1) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8896) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) all_56_5 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8799), (8897) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) e2 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (8898) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) $false
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8899) is inconsistent.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900) all_56_10 = e0 & op(e2, e0) = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (246), (369), (372), (8771), (8774),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900), (function-axioms) are inconsistent by
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8901) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902) all_56_8 = e2 & op(e1, e1) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8902) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8903) op(e1, e1) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8727), (8903), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_56_14 = e2 & op(e0, e1) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905) all_56_14 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8906) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8906) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8907) all_56_12 = e1 & op(e0, e3) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8907) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) all_56_12 = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8795) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) all_54_4 = e3
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8610), (8909) are inconsistent by
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1316.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) all_54_4 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8910) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) all_52_1 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8911) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) all_52_1 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8912) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8913) ~ (all_52_2 = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8913) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) ~ (all_52_2 = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8610), (8912) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) ~ (e3 = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8782), (8912) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) ~ (e2 = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (8912) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) ~ (e1 = e0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8918) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) all_56_2 = e2 & op(e2, e3) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8919) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) all_56_2 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (229), (8615), (8908),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914), (8920), (function-axioms) are inconsistent
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #331.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_56_3 = e2 & op(e2, e2) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8921) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) op(e2, e2) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (8922), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8923) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) all_56_5 = e2 & op(e2, e1) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8924) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_56_5 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (8727),
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905), (8925), (function-axioms) are inconsistent
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #280.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) all_56_10 = e2 & op(e2, e0) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8926) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) op(e2, e0) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8748), (8927), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) all_56_13 = e1 & op(e0, e2) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8585), (8928), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8929) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) all_56_14 = e1 & op(e0, e1) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8905), (8930) are inconsistent by sub-proof
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1243.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) all_56_15 = e1 & op(e0, e0) = e1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8617), (8931), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8932) all_54_6 = e3 | all_54_6 = e0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8756), (8761), (8767), (8932) are inconsistent by
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | (8933) ( ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e2, e2)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8933) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | (8934) ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8934) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | (8935) ~ (all_32_0 = e3)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | (8936) op(e0, e2) = all_32_0
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8754), (8935), (8936), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1261.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | (8937) ~ (all_32_1 = e1) & op(e2, e2) = all_32_1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8592), (8937), (function-axioms) are inconsistent
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #278.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | (8938) ~ (all_34_1 = e3) & op(e1, e1) = all_34_1 &
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8938) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | (8939) ~ (all_34_1 = e3)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | (8940) op(e1, e1) = all_34_1
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (8727), (8940) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | (8941) all_34_1 = e3
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8939), (8941) imply:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | (8942) $false
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8942) is inconsistent.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | (8943) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.04/24.91 | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (8943) gives:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | (8944) all_56_14 = e3 & op(e0, e1) = e3
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8725), (8944), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | (8945) all_56_15 = e3 & op(e0, e0) = e3
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (8945), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | End of split
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | (8946) all_24_2 = e2
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | COMBINE_EQS: (322), (8946) imply:
% 166.04/24.91 | | | | | | | | | | | | | | (8947) all_14_2 = e2
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | REDUCE: (348), (8947) imply:
% 166.04/24.91 | | | | | | | | | | | | | | (8948) ~ (all_52_2 = e2)
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | REDUCE: (361), (8947) imply:
% 166.04/24.91 | | | | | | | | | | | | | | (8949) ~ (all_52_8 = e2)
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | REDUCE: (362), (8947) imply:
% 166.04/24.91 | | | | | | | | | | | | | | (8950) ~ (all_52_9 = e2)
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | REDUCE: (51), (8947) imply:
% 166.04/24.91 | | | | | | | | | | | | | | (8951) op(e1, e1) = e2
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 166.04/24.91 | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | (8952) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 166.04/24.91 | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | BETA: splitting (8952) gives:
% 166.04/24.91 | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | Case 1:
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | (8953) all_56_6 = e2 & op(e1, e3) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8948), (8953), (function-axioms) are
% 166.04/24.91 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | Case 2:
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | (8954) all_56_7 = e2 & op(e1, e2) = e2
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | ALPHA: (8954) implies:
% 166.04/24.91 | | | | | | | | | | | | | | | | (8955) all_56_7 = e2
% 166.04/24.91 | | | | | | | | | | | | | | | |
% 166.04/24.91 | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | (8956) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (8949), (8950), (8956),
% 166.04/24.92 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | #1083.
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | (8957) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | BETA: splitting (8957) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8958) all_56_8 = e2 & op(e1, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | ALPHA: (8958) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8959) all_56_8 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (8960) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (8960) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8961) all_56_6 = e3 & op(e1, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (8961) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8962) op(e1, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8611), (8962), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8963) all_56_7 = e3 & op(e1, e2) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (8963) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8964) all_56_7 = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8955), (8964) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | #1328.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (8965) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (8951), (8955), (8959), (8965), (function-axioms)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #755.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8966) all_56_14 = e2 & op(e0, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | ALPHA: (8966) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8967) all_56_14 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (8968) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (8968) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8969) all_56_12 = e3 & op(e0, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (8969) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8970) op(e0, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8612), (8970), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #388.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8971) all_56_13 = e3 & op(e0, e2) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (8971) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8972) all_56_13 = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8973) op(e0, e2) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (145), (163),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (206), (207), (208),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (213), (214), (216), (217),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (225), (226),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (231), (232), (233), (234),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (372), (8611), (8614), (8615), (8948), (8949),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (8950), (8951), (8955), (8972), (8973),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | #1021.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (8974) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (372), (8967), (8974),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | #300.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | (8975) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 166.04/24.92 | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | BETA: splitting (8975) gives:
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | (8976) all_56_8 = e2 & op(e1, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | ALPHA: (8976) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | (8977) all_56_8 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (39), (79), (125), (126),
% 166.04/24.92 | | | | | | | | | | | | | | | | (140), (146), (157), (158), (159), (160), (162),
% 166.04/24.92 | | | | | | | | | | | | | | | | (163), (165), (167), (170), (189), (191), (193),
% 166.04/24.92 | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (216), (217),
% 166.04/24.92 | | | | | | | | | | | | | | | | (218), (220), (221), (223), (224), (227), (229),
% 166.04/24.92 | | | | | | | | | | | | | | | | (233), (239), (246), (248), (250), (329), (349),
% 166.04/24.92 | | | | | | | | | | | | | | | | (360), (367), (370), (372), (8583), (8584),
% 166.04/24.92 | | | | | | | | | | | | | | | | (8585), (8591), (8592), (8611), (8612), (8613),
% 166.04/24.92 | | | | | | | | | | | | | | | | (8615), (8617), (8948), (8950), (8951), (8977),
% 166.04/24.92 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | #269.
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | (8978) all_56_11 = e2 & op(e1, e0) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | ALPHA: (8978) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | (8979) all_56_11 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | (8980) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (8949), (8950), (8980),
% 166.04/24.92 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | #1083.
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | (8981) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | BETA: splitting (8981) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8982) all_56_8 = e2 & op(e1, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | ALPHA: (8982) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8983) all_56_8 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (39), (79), (125), (126),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (140), (146), (157), (158), (159), (160), (162),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (163), (165), (167), (170), (189), (191), (193),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (206), (207), (209), (213), (214), (216), (217),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (218), (220), (221), (223), (224), (227), (229),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (233), (239), (246), (248), (250), (329), (349),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (360), (367), (370), (372), (8583), (8584),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8585), (8591), (8592), (8611), (8612), (8613),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8615), (8617), (8948), (8950), (8951), (8983),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | | #269.
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8984) all_56_14 = e2 & op(e0, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | ALPHA: (8984) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (8985) all_56_14 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (212),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (230), (232), (234),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (372), (8614), (8615), (8951), (8979), (8985),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | | #975.
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | (8986) all_22_2 = e1
% 166.04/24.92 | | | | | | | | | | | | | (8987) ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 166.04/24.92 | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1)
% 166.04/24.92 | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | COMBINE_EQS: (310), (8986) imply:
% 166.04/24.92 | | | | | | | | | | | | | (8988) all_6_2 = e1
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | COMBINE_EQS: (296), (8988) imply:
% 166.04/24.92 | | | | | | | | | | | | | (8989) all_38_2 = e1
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | REDUCE: (349), (8988) imply:
% 166.04/24.92 | | | | | | | | | | | | | (8990) ~ (all_52_3 = e1)
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | REDUCE: (368), (8988) imply:
% 166.04/24.92 | | | | | | | | | | | | | (8991) ~ (all_52_12 = e1)
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | REDUCE: (372), (8988) imply:
% 166.04/24.92 | | | | | | | | | | | | | (8992) ~ (e3 = e1)
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | REDUCE: (39), (8988) imply:
% 166.04/24.92 | | | | | | | | | | | | | (8993) op(e0, e0) = e1
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | BETA: splitting (232) gives:
% 166.04/24.92 | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | (8994) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 166.04/24.92 | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (8583), (8615), (8994),
% 166.04/24.92 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | #296.
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | (8995) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 166.04/24.92 | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | BETA: splitting (8995) gives:
% 166.04/24.92 | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | (8996) all_56_4 = e1 & op(e3, e1) = e1
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | ALPHA: (8996) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | (8997) all_56_4 = e1
% 166.04/24.92 | | | | | | | | | | | | | | | (8998) op(e3, e1) = e1
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 166.04/24.92 | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | (8999) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (8582), (8615), (8999),
% 166.04/24.92 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | #287.
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | (9000) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 166.04/24.92 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | BETA: splitting (9000) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9001) all_56_6 = e1 & op(e1, e3) = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | ALPHA: (9001) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9002) op(e1, e3) = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 166.04/24.92 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (9002) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9003) all_52_2 = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 166.04/24.92 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8998) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9004) all_52_8 = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | REDUCE: (143), (9003) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9005) ~ (all_52_6 = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | REDUCE: (121), (9004) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9006) ~ (all_52_11 = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | SIMP: (9006) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9007) ~ (all_52_11 = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | REDUCE: (361), (9004) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9008) ~ (all_14_2 = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | SIMP: (9008) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | (9009) ~ (all_14_2 = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (9010) ~ (all_24_2 = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | REDUCE: (322), (9010) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | (9011) ~ (all_14_2 = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (9012) all_54_10 = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (9009), (9012) are inconsistent by
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (9013) ~ (all_54_10 = e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | (9014) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (9014) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (9015) all_54_10 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (9011), (9015) are inconsistent by
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | sub-proof #1308.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (9016) ~ (all_54_10 = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | (9017) all_54_10 = e3 | all_54_10 = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9017) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | (9018) all_54_10 = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (9018) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | (9019) all_14_2 = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (9019) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | (9020) all_14_2 = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (9020) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | (9021) ~ (all_52_11 = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (9020) imply:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | (9022) op(e1, e1) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | (9023) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9023) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | (9024) all_56_12 = e3 & op(e0, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9024) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | (9025) op(e0, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8612), (9025), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #388.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | (9026) all_56_13 = e3 & op(e0, e2) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9026) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | (9027) op(e0, e2) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8987) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | (9028) ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9028) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | (9029) ~ (all_22_0 = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | (9030) op(e0, e1) = all_22_0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | (9031) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9031) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) all_56_4 = e2 & op(e3, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9032) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) op(e3, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8998), (9033), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) all_56_5 = e2 & op(e2, e1) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9034) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) all_56_5 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9036) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_56_12 = e2 & op(e0, e3) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9037) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) all_56_12 = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) op(e0, e3) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9040) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) all_56_0 = e0 & op(e3, e3) = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9041) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) op(e3, e3) = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8615), (9042), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) all_56_2 = e0 & op(e2, e3) = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9043) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) op(e2, e3) = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9045) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (170), (8611), (8613), (9044), (9046),
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #285.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9047) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9048) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) ~ (all_57_10 = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) op(e3, e3) = all_57_10
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8615), (9049), (9050), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9051) gives:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9052) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) op(e0, e3) = e3
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9039), (9053), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9054) implies:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) ~ (all_57_10 = e3)
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) op(e3, e3) = all_57_10
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8615), (9055), (9056), (function-axioms) are
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9057) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (8584), (9002), (9022), (9027),
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058), (function-axioms) are inconsistent by
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #634.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9059) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9060) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) op(e0, e2) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9027), (9061), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9002), (9007), (9022), (9062),
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #268.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9063) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) all_56_6 = e0 & op(e1, e3) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9064) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) op(e1, e3) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9002), (9065), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) all_56_12 = e0 & op(e0, e3) = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9066) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) all_56_12 = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9038), (9067) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) e2 = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9035), (9068) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) all_56_5 = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9031) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_56_4 = e2 & op(e3, e1) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9070) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) op(e3, e1) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8998), (9071), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9035), (9069) are inconsistent by sub-proof
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #291.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9022), (9029), (9030), (9072),
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #719.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) all_56_13 = e2 & op(e0, e2) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9073) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) op(e0, e2) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9027), (9074), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9075) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) all_56_14 = e2 & op(e0, e1) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9076) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) all_56_14 = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (9022),
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035), (9077), (function-axioms) are inconsistent
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #280.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) all_56_15 = e2 & op(e0, e0) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9078) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) op(e0, e0) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8993), (9079), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | (9080) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9022), (9029), (9030), (9080),
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | #719.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9081) ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9081) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9082) ~ (all_22_1 = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9083) op(e1, e1) = all_22_1
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9022), (9082), (9083), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #933.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | (9084) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (8993), (9021), (9084),
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | #934.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | (9085) all_54_10 = e0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (8593), (9085) are inconsistent by
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | sub-proof #1307.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | End of split
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | (9086) all_24_2 = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (9086) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | (9087) all_14_2 = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | SIMP: (9087) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | (9088) all_14_2 = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | REDUCE: (362), (9088) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | (9089) ~ (all_52_9 = e2)
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | REDUCE: (364), (9088) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | (9090) ~ (all_52_11 = e2)
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | REDUCE: (51), (9088) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | (9091) op(e1, e1) = e2
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | (9092) ~ (all_38_2 = e1)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | REDUCE: (8989), (9092) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | (9093) $false
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | CLOSE: (9093) is inconsistent.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | (9094) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (9094) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9095) ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | ALPHA: (9095) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9096) ~ (all_38_0 = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9097) op(e0, e1) = all_38_0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | all_38_0, e1, e0, simplifying with (157), (9097)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9098) all_52_11 = all_38_0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (9098) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9099) all_54_14 = all_38_0
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (9098) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9100) ~ (all_52_3 = all_38_0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9098) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9101) ~ (all_52_7 = all_38_0)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (9090), (9098) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9102) ~ (all_38_0 = e2)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (9007), (9098) imply:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | (9103) ~ (all_38_0 = e1)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | (9104) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9104) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | (9105) all_56_4 = e3 & op(e3, e1) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9105) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | (9106) op(e3, e1) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8614), (9106), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | (9107) all_56_5 = e3 & op(e2, e1) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9107) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | (9108) op(e2, e1) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | (9109) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9109) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9110) all_56_12 = e3 & op(e0, e3) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9110) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9111) op(e0, e3) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8612), (9111), (function-axioms) are
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #388.
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_56_13 = e3 & op(e0, e2) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9112) implies:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9113) all_56_13 = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | (9114) op(e0, e2) = e3
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.04/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | (9115) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9115) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) all_56_1 = e2 & op(e3, e2) = e2
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9116) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) all_56_1 = e2
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9118) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) all_56_0 = e0 & op(e3, e3) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9119) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) op(e3, e3) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8615), (9120), (function-axioms) are
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) all_56_1 = e0 & op(e3, e2) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9117), (9121) are inconsistent by sub-proof
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1088.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9122) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) all_56_4 = e0 & op(e3, e1) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8997), (9123) are inconsistent by sub-proof
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #923.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) all_56_9 = e0 & op(e3, e0) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9124) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) all_56_9 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9126) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_56_1 = e0 & op(e3, e2) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9127) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_56_1 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (8615), (8997), (9125),
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128), (function-axioms) are inconsistent by
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1031.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_56_3 = e0 & op(e2, e2) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9129) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) op(e2, e2) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (9130), (function-axioms) are
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9131) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) all_56_7 = e0 & op(e1, e2) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9132) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) all_56_7 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9134) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_56_6 = e3 & op(e1, e3) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9135) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) op(e1, e3) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8611), (9136), (function-axioms) are
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) all_56_7 = e3 & op(e1, e2) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9137) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_56_7 = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (8592), (9113), (9117),
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138), (function-axioms) are inconsistent by
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1087.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9139) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) all_56_8 = e3 & op(e1, e1) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9140) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) op(e1, e1) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9091), (9141), (function-axioms) are
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_56_11 = e3 & op(e1, e0) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9142) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) op(e1, e0) = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) all_54_14 = e1
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9099), (9103), (9144) are inconsistent by
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #932.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) ~ (all_54_14 = e1)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9146) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_54_14 = e2
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9099), (9102), (9147) are inconsistent by
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #931.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) ~ (all_54_14 = e2)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_54_14 = e3 | all_54_14 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9149) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_54_14 = e3
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9096), (9099), (9150) are inconsistent by
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #930.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_54_14 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9099), (9151) imply:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) all_38_0 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9152) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) all_38_0 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9100), (9153) imply:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) ~ (all_52_3 = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9101), (9153) imply:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) ~ (all_52_7 = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9096), (9153) imply:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) ~ (e3 = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9102), (9153) imply:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) ~ (e2 = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9103), (9153) imply:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) ~ (e1 = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9159) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) all_56_0 = e0 & op(e3, e3) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9160) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) op(e3, e3) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8615), (9161), (function-axioms) are
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_56_2 = e0 & op(e2, e3) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9162) implies:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) op(e2, e3) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9164) gives:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (170), (8611), (8613), (9163), (9165),
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #285.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8612), (8615), (9154), (9166),
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #376.
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9167) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9168) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9169) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) op(e2, e1) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9089), (9170), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9171) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9172) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) op(e2, e1) = e1
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (9108), (9173), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9174) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) op(e0, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (228), (230), (232),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (8591), (8615), (9133), (9175),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #284.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9176) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9177) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) op(e0, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9155), (9178), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9179) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9180) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) op(e0, e1) = e1
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9007), (9181), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9182) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) op(e1, e0) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (9143), (9183), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9184) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) all_56_6 = e0 & op(e1, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9185) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) op(e1, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9002), (9186), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) all_56_12 = e0 & op(e0, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9187) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) op(e0, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9154), (9188), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) all_56_13 = e0 & op(e0, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9189) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) op(e0, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9114), (9190), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) all_56_3 = e2 & op(e2, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9191) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) op(e2, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (9192), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9193) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9193) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) all_56_7 = e2 & op(e1, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9194) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) all_56_7 = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9196) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_56_12 = e2 & op(e0, e3) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9197) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_56_12 = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9199) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_56_0 = e0 & op(e3, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9200) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) op(e3, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8615), (9201), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) all_56_2 = e0 & op(e2, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9202) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) all_56_2 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) op(e2, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9205) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) all_56_1 = e0 & op(e3, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9206) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) all_56_1 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9208) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) all_56_6 = e0 & op(e1, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9209) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) op(e1, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9002), (9210), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) all_56_7 = e0 & op(e1, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (8615),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195), (9198), (9203), (9211), (function-axioms)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #267.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9212) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) all_56_8 = e0 & op(e1, e1) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9213) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) op(e1, e1) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9091), (9214), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) all_56_11 = e0 & op(e1, e0) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9215) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) op(e1, e0) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9217) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) all_56_2 = e2 & op(e2, e3) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9218) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) op(e2, e3) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9204), (9219), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #319.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) all_56_3 = e2 & op(e2, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9220) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) op(e2, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (162), (225), (226),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584), (9113), (9114), (9195), (9221),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #881.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9222) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_56_5 = e2 & op(e2, e1) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9223) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) op(e2, e1) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9089), (9224), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) all_56_10 = e2 & op(e2, e0) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9225) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) op(e2, e0) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9227) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) all_56_2 = e3 & op(e2, e3) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9203), (9228) are inconsistent by sub-proof
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #945.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_56_3 = e3 & op(e2, e2) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9229) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) op(e2, e2) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8592), (9230), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9231) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9107) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) all_56_5 = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9233) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) all_56_9 = e3 & op(e3, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9234) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) all_56_9 = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (8615),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207), (9235), (function-axioms) are inconsistent
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1299.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) all_56_10 = e3 & op(e2, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9236) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) all_56_10 = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (8592),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232), (9237), (function-axioms) are inconsistent
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1286.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9238) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9238) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9239) all_56_11 = e3 & op(e1, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9239) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9240) op(e1, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (9216), (9240), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9241) all_56_15 = e3 & op(e0, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9241) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9242) op(e0, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8993), (9242), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9243) all_56_10 = e3 & op(e2, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9243) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9244) op(e2, e0) = e3
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9226), (9244), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9245) all_56_3 = e0 & op(e2, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9245) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9246) op(e2, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (9246), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9247) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9247) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9248) all_56_7 = e0 & op(e1, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (231), (233), (8615),
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195), (9198), (9203), (9248), (function-axioms)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #267.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9249) all_56_13 = e0 & op(e0, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9249) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250) op(e0, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9114), (9250), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9251) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9252) all_56_6 = e0 & op(e1, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9252) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9253) op(e1, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9002), (9253), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1210.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9254) all_56_12 = e0 & op(e0, e3) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9198), (9254) are inconsistent by sub-proof
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1235.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9255) all_56_13 = e2 & op(e0, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9255) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9256) op(e0, e2) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9114), (9256), (function-axioms) are
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9257) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9257) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9258) all_56_14 = e2 & op(e0, e1) = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9258) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9259) all_56_14 = e2
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9260) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9260) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9261) all_56_1 = e0 & op(e3, e2) = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9261) implies:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262) all_56_1 = e0
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9263) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9263) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9264) all_56_4 = e0 & op(e3, e1) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9264) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_56_4 = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (8615),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262), (9265), (function-axioms) are inconsistent
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1111.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) all_56_5 = e0 & op(e2, e1) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9266) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) all_56_5 = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (9091), (9259), (9267), (function-axioms)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #664.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9091), (9259), (9268), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #752.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_56_3 = e0 & op(e2, e2) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9269) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) op(e2, e2) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (9270), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9114), (9195), (9271),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1048.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_56_15 = e2 & op(e0, e0) = e2
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9272) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) op(e0, e0) = e2
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8993), (9273), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) all_56_13 = e2 & op(e0, e2) = e2
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) op(e0, e2) = e2
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9114), (9275), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (9276) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8993), (9096), (9097), (9276),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | #266.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (9277) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9277) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9278) all_56_8 = e3 & op(e1, e1) = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9278) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9279) op(e1, e1) = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9091), (9279), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9280) all_56_14 = e3 & op(e0, e1) = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9280) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9281) op(e0, e1) = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9096), (9097), (9281), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | (9282) ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (9282) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | (9283) ~ (all_38_1 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | (9284) op(e1, e1) = all_38_1
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9091), (9283), (9284), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | (9285) all_56_12 = e1 & op(e0, e3) = e1
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8990), (9285), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | (9286) all_56_9 = e1 & op(e3, e0) = e1
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | REF_CLOSE: (168), (8991), (9286), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | (9287) all_54_0 = e0
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | COMBINE_EQS: (279), (9287) imply:
% 166.35/24.95 | | | | | | | | | | | | (9288) all_4_2 = e0
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | REDUCE: (8595), (9288) imply:
% 166.35/24.95 | | | | | | | | | | | | (9289) $false
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | CLOSE: (9289) is inconsistent.
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | (9290) all_20_2 = e1
% 166.35/24.95 | | | | | | | | | (9291) ( ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 166.35/24.95 | | | | | | | | | $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e1, e1) =
% 166.35/24.95 | | | | | | | | | all_20_1 & $i(all_20_1))
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | COMBINE_EQS: (300), (9290) imply:
% 166.35/24.95 | | | | | | | | | (9292) all_4_2 = e1
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | SIMP: (9292) implies:
% 166.35/24.95 | | | | | | | | | (9293) all_4_2 = e1
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | REDUCE: (338), (9293) imply:
% 166.35/24.95 | | | | | | | | | (9294) ~ (all_52_2 = e1)
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | REDUCE: (340), (9293) imply:
% 166.35/24.95 | | | | | | | | | (9295) ~ (all_52_3 = e1)
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | REDUCE: (344), (9293) imply:
% 166.35/24.95 | | | | | | | | | (9296) ~ (all_52_8 = e1)
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | REDUCE: (346), (9293) imply:
% 166.35/24.95 | | | | | | | | | (9297) ~ (all_52_12 = e1)
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | REDUCE: (371), (9293) imply:
% 166.35/24.95 | | | | | | | | | (9298) ~ (e2 = e1)
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | REDUCE: (36), (9293) imply:
% 166.35/24.95 | | | | | | | | | (9299) op(e3, e3) = e1
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | BETA: splitting (64) gives:
% 166.35/24.95 | | | | | | | | |
% 166.35/24.95 | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | (9300) ~ (all_22_2 = e1)
% 166.35/24.95 | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | REDUCE: (310), (9300) imply:
% 166.35/24.95 | | | | | | | | | | (9301) ~ (all_6_2 = e1)
% 166.35/24.95 | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | BETA: splitting (207) gives:
% 166.35/24.95 | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | (9302) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 166.35/24.95 | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | BETA: splitting (9302) gives:
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | (9303) all_56_12 = e1 & op(e0, e3) = e1
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | REF_CLOSE: (159), (9295), (9303), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | inconsistent by sub-proof #974.
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | (9304) all_56_13 = e1 & op(e0, e2) = e1
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | REF_CLOSE: (158), (8585), (9304), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | inconsistent by sub-proof #728.
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | (9305) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 166.35/24.95 | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | BETA: splitting (9305) gives:
% 166.35/24.95 | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | (9306) all_56_14 = e1 & op(e0, e1) = e1
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | ALPHA: (9306) implies:
% 166.35/24.95 | | | | | | | | | | | | (9307) all_56_14 = e1
% 166.35/24.95 | | | | | | | | | | | | (9308) op(e0, e1) = e1
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | BETA: splitting (210) gives:
% 166.35/24.95 | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | (9309) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 166.35/24.95 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | BETA: splitting (9309) gives:
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | (9310) all_56_9 = e1 & op(e3, e0) = e1
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | REF_CLOSE: (168), (9297), (9310), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | (9311) all_56_10 = e1 & op(e2, e0) = e1
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | REF_CLOSE: (164), (8587), (9311), (function-axioms) are
% 166.35/24.95 | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | (9312) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 166.35/24.95 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | BETA: splitting (9312) gives:
% 166.35/24.95 | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | (9313) all_56_11 = e1 & op(e1, e0) = e1
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | ALPHA: (9313) implies:
% 166.35/24.95 | | | | | | | | | | | | | | (9314) op(e1, e0) = e1
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.35/24.95 | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (9308) gives:
% 166.35/24.95 | | | | | | | | | | | | | | (9315) all_52_11 = e1
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 166.35/24.95 | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (9314) gives:
% 166.35/24.95 | | | | | | | | | | | | | | (9316) all_52_14 = e1
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | REDUCE: (366), (9316) imply:
% 166.35/24.95 | | | | | | | | | | | | | | (9317) ~ (all_14_2 = e1)
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | SIMP: (9317) implies:
% 166.35/24.95 | | | | | | | | | | | | | | (9318) ~ (all_14_2 = e1)
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | REDUCE: (370), (9316) imply:
% 166.35/24.95 | | | | | | | | | | | | | | (9319) ~ (all_6_2 = e1)
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 166.35/24.95 | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | (9320) ~ (all_24_2 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | REDUCE: (322), (9320) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | (9321) ~ (all_14_2 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 166.35/24.95 | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | (9322) all_54_10 = e1
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | REF_CLOSE: (334), (9318), (9322) are inconsistent by
% 166.35/24.95 | | | | | | | | | | | | | | | | sub-proof #727.
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | (9323) ~ (all_54_10 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | (9324) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | BETA: splitting (9324) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | (9325) all_54_10 = e2
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (9321), (9325) are inconsistent by
% 166.35/24.95 | | | | | | | | | | | | | | | | | sub-proof #1308.
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | (9326) all_54_10 = e3 | all_54_10 = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | BETA: splitting (9326) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9327) all_54_10 = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (9327) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9328) all_14_2 = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | SIMP: (9328) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9329) all_14_2 = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | REDUCE: (348), (9329) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9330) ~ (all_52_2 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | REDUCE: (359), (9329) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9331) ~ (all_52_6 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | REDUCE: (361), (9329) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9332) ~ (all_52_8 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | REDUCE: (362), (9329) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9333) ~ (all_52_9 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | REDUCE: (51), (9329) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | (9334) op(e1, e1) = e3
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | (9335) ~ (all_34_2 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | REDUCE: (8581), (9335) imply:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | (9336) $false
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | CLOSE: (9336) is inconsistent.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | (9337) ( ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e1, e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (9337) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | (9338) ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | $i(all_34_0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (9338) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | (9339) ~ (all_34_0 = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | (9340) op(e2, e1) = all_34_0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (9341) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9342) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (163), (8592), (9294), (9299), (9342),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | #265.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9343) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9343) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (9344) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9344) implies:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (9345) op(e1, e2) = e1
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (193), (250), (9314), (9345),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | #374.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (9346) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9299), (9332), (9346), (function-axioms)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #263.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (9347) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9347) gives:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (9348) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8592), (9299), (9348),
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | | #262.
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.95 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (9349) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9349) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (9350) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9350) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (9351) op(e2, e2) = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (9351), (function-axioms) are
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (9352) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9352) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9353) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9353) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9354) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9299), (9332), (9354), (function-axioms)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #264.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9355) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9355) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9356) op(e0, e0) = all_57_15
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9357) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (39), (9356)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9358) all_57_15 = all_6_2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e1, e2, simplifying with (165), (9340)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9359) all_52_9 = all_34_0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9359) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9360) all_54_6 = all_34_0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9359) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9361) ~ (all_52_1 = all_34_0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9359) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9362) ~ (all_52_8 = all_34_0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9359) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9363) ~ (all_52_13 = all_34_0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9363) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9364) ~ (all_52_13 = all_34_0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9333), (9359) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9365) ~ (all_34_0 = e3)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (9359) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | (9366) ~ (all_34_0 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (9367) all_54_6 = e1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9360), (9367) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (9368) all_34_0 = e1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9366), (9368) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (9369) $false
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9369) is inconsistent.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (9370) ~ (all_54_6 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9371) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) all_54_6 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9360), (9372) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) all_34_0 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9361), (9373) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) ~ (all_52_1 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9362), (9373) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) ~ (all_52_8 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9364), (9373) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) ~ (all_52_13 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) all_54_2 = e1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9377) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) all_52_8 = e1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9378) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) $false
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9379) is inconsistent.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) ~ (all_54_2 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9382) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) all_56_4 = e0 & op(e3, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9383) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) all_56_4 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (8592), (9374), (9385),
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #261.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9386) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) all_56_5 = e2 & op(e2, e1) = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9387) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) all_56_5 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9381) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) all_54_2 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9375), (9389) are inconsistent by
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1132.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) all_54_2 = e3 | all_54_2 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9390) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) all_54_2 = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (9332), (9391) are inconsistent by
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1131.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_54_2 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9392) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) all_52_8 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9393) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) all_52_8 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9394) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) ~ (all_52_4 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9394) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) ~ (all_52_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9396) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) ~ (all_52_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9332), (9394) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) ~ (e3 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (9394) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) op(e3, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9291) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9399), (9400), (function-axioms) are inconsistent
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #260.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9401) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) ~ (all_20_1 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) op(e1, e1) = all_20_1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_20_1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (9334), (9403) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) all_20_1 = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) ~ (all_32_2 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (9405) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) ~ (all_6_2 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) all_54_15 = e1
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9301), (9407) are inconsistent by
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) ~ (all_54_15 = e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9409) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) all_54_15 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9406), (9410) are inconsistent by
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #909.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) ~ (all_54_15 = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_54_15 = e3 | all_54_15 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9413) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) all_56_9 = e2 & op(e3, e0) = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9414) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) all_56_9 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) op(e3, e0) = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9357) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9417) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9418) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) (all_57_1 = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9294), (9334), (9419), (function-axioms)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1170.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9358), (9406), (9420) are inconsistent by
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #346.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9421) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9422) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9299), (9399), (9423), (function-axioms) are
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #867.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9424) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9425) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) op(e1, e1) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9334), (9426), (function-axioms) are
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9427) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) all_57_15 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) (all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9358), (9428) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) all_6_2 = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (9430) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) ~ (all_52_7 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (9430) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) ~ (all_52_13 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9406), (9430) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) ~ (e2 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9301), (9430) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) ~ (e1 = e0)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9430) imply:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) op(e0, e0) = e0
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9436) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) all_56_9 = e3 & op(e3, e0) = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9437) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) op(e3, e0) = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9416), (9438), (function-axioms) are
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) all_56_10 = e3 & op(e2, e0) = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9439) implies:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) all_56_10 = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) op(e2, e0) = e3
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9442) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) all_56_2 = e0 & op(e2, e3) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9443) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) all_56_2 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) op(e2, e3) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) all_54_7 = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8587), (9446) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9447) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) all_54_7 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9376), (9448) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) ~ (all_54_7 = e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) all_54_7 = e3 | all_54_7 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9451) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) all_56_0 = e3 & op(e3, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9452) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) op(e3, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9299), (9453), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1392.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) all_56_1 = e3 & op(e3, e2) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9454) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) all_56_1 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9456) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) all_56_1 = e0 & op(e3, e2) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9395), (9457), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1202.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) all_56_3 = e0 & op(e2, e2) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9458) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) op(e2, e2) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9429), (9441), (9459), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1204.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9460) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_56_7 = e0 & op(e1, e2) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9461) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) all_56_7 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9463) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) all_56_0 = e3 & op(e3, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9464) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) op(e3, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (9384), (9415), (9455),
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465), (function-axioms) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) all_56_2 = e3 & op(e2, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9466) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) all_56_2 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (223), (8592),
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441), (9467), (function-axioms) are inconsistent
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #289.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9468) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) all_56_6 = e3 & op(e1, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9469) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) op(e1, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9330), (9470), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) all_56_12 = e3 & op(e0, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9471) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) op(e0, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9473) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) all_56_6 = e2 & op(e1, e3) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9474) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) all_56_6 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9476) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) all_56_12 = e2 & op(e0, e3) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9477) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) all_56_12 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (9299), (9444), (9475),
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478), (function-axioms) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #311.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) all_56_13 = e2 & op(e0, e2) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9479) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) op(e0, e2) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9450) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) all_54_7 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9481) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) all_52_13 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9482) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_52_13 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9483) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) ~ (all_52_1 = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9483) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) ~ (all_52_12 = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) all_54_4 = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8582), (9486) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9488) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9489) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9490) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) op(e2, e3) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (9484), (9491), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (9330), (9445), (9492),
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #286.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9493) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9494) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) op(e3, e1) = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9296), (9495), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9497) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) op(e3, e0) = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9485), (9498), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9499) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) op(e0, e3) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9472), (9500), (function-axioms) are
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #258.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9501) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9502) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9503) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) op(e1, e2) = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9487) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) all_54_4 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9374), (9505) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1317.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_54_4 = e3 | all_54_4 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9506) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_54_4 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9484), (9507) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1316.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_54_4 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9508) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) all_52_1 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9509) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_52_1 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (9510) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) ~ (all_52_2 = e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9511) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) ~ (all_52_2 = e0)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) all_54_8 = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9294), (9513) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) ~ (all_54_8 = e1)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9515) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_54_8 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (9516) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) all_52_2 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9517) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_52_2 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9518) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) ~ (all_52_6 = e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9519) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) ~ (all_52_6 = e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) all_54_9 = e1
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8584), (9521) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9522) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) all_54_9 = e2
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9520), (9523) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) ~ (all_54_9 = e2)
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_54_9 = e3 | all_54_9 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9525) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_54_9 = e3
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9331), (9526) are inconsistent by
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1142.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_54_9 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9527) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) all_52_6 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9528) implies:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_52_6 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (9529) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) op(e1, e2) = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (9504), (9530) gives:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) e2 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9415), (9531) imply:
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) all_56_9 = e0
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (164), (211), (9314), (9376),
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435), (9532), (function-axioms) are inconsistent
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #464.
% 166.35/24.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_54_8 = e3 | all_54_8 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (9330), (9512), (9533) are inconsistent by
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8586), (9441), (9534),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9535) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9536) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) op(e0, e2) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9480), (9537), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9538) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9539) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) ~ (all_57_15 = e0)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9356), (9435), (9540), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9541) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) op(e0, e1) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (9332), (9390), (9542),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1116.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_54_7 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9432), (9543) are inconsistent by
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9544) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_56_14 = e2 & op(e0, e1) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9545) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_56_14 = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (9334),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388), (9546), (function-axioms) are inconsistent
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #280.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_56_15 = e2 & op(e0, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9547) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) op(e0, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415), (9440), (9548), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1103.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_56_7 = e2 & op(e1, e2) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9549) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_56_7 = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9462), (9550) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) e2 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9551) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) e2 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9415), (9552) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) all_56_9 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (164), (211), (9314), (9376),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435), (9553), (function-axioms) are inconsistent
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #464.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9554) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) all_56_8 = e2 & op(e1, e1) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9555) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) op(e1, e1) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9402), (9403), (9556), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #709.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) all_56_11 = e2 & op(e1, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) op(e1, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (9314), (9558), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1222.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_56_13 = e0 & op(e0, e2) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9559) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) op(e0, e2) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9431), (9560), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9561) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) all_56_4 = e3 & op(e3, e1) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9562) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) op(e3, e1) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9332), (9563), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_56_9 = e3 & op(e3, e0) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9564) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) op(e3, e0) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9416), (9565), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_56_3 = e0 & op(e2, e2) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9566) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) op(e2, e2) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9429), (9441), (9567), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1204.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9568) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_56_5 = e0 & op(e2, e1) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9569) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) all_56_5 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9388), (9570) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) e2 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9415), (9571) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_56_9 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (160), (164), (211), (9314), (9376),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435), (9572), (function-axioms) are inconsistent
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #464.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_56_10 = e0 & op(e2, e0) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9573) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) op(e2, e0) = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9441), (9574), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9314), (9435), (9575),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #254.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_56_10 = e2 & op(e2, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9576) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) op(e2, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9376), (9577), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9578) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) all_56_11 = e2 & op(e1, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9579) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) op(e1, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (9314), (9580), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1222.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) all_56_15 = e2 & op(e0, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9581) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) op(e0, e0) = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (9406), (9412), (9582),
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #352.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_32_2 = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) ( ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e2, e2)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (9583) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) all_6_2 = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9585) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) all_6_2 = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (9586) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) ~ (all_52_12 = e2)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9584) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9588) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) ~ (all_32_0 = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) op(e0, e2) = all_32_0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) all_54_3 = e1
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9297), (9591) are inconsistent by
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1194.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) ~ (all_54_3 = e1)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9593) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) all_54_3 = e2
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9587), (9594) are inconsistent by
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1193.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) all_54_3 = e3 | all_54_3 = e0
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9595) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) all_54_3 = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9596) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) all_52_12 = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9597) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) all_52_12 = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9598) imply:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) ~ (all_52_4 = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9600) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) all_56_1 = e3 & op(e3, e2) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9601) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) op(e3, e2) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9599), (9602), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) all_56_3 = e3 & op(e2, e2) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9603) implies:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) op(e2, e2) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8592), (9604), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9605) gives:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) all_56_7 = e3 & op(e1, e2) = e3
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9331), (9606), (function-axioms) are
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.35/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_56_13 = e3 & op(e0, e2) = e3
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9607) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) op(e0, e2) = e3
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9589), (9590), (9608), (function-axioms) are
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1261.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) all_54_3 = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9397), (9609) are inconsistent by
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #810.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) ~ (all_32_1 = e1) & op(e2, e2) = all_32_1 &
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8592), (9610), (function-axioms) are inconsistent
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #278.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_56_10 = e2 & op(e2, e0) = e2
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9611) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) op(e2, e0) = e2
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9376), (9612), (function-axioms) are
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) all_56_5 = e0 & op(e2, e1) = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9613) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_56_5 = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (167), (223), (8592), (9374),
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376), (9614), (function-axioms) are inconsistent
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #253.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9615) gives:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) all_56_8 = e0 & op(e1, e1) = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9616) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) op(e1, e1) = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9334), (9617), (function-axioms) are
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) all_56_14 = e0 & op(e0, e1) = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9618) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) op(e0, e1) = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (202), (271), (9296), (9332),
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375), (9619), (function-axioms) are inconsistent
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1114.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) all_54_6 = e3 | all_54_6 = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9339), (9360), (9365), (9620) are inconsistent by
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | (9621) ~ (all_34_1 = e3) & op(e1, e1) = all_34_1 &
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | ALPHA: (9621) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | (9622) ~ (all_34_1 = e3)
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | (9623) op(e1, e1) = all_34_1
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9334), (9622), (9623), (function-axioms) are
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #252.
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | (9624) all_54_10 = e0
% 166.52/24.98 | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (8593), (9624) are inconsistent by
% 166.52/24.98 | | | | | | | | | | | | | | | | | | sub-proof #1307.
% 166.52/24.98 | | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | End of split
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | Case 2:
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | (9625) all_24_2 = e2
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | COMBINE_EQS: (322), (9625) imply:
% 166.52/24.98 | | | | | | | | | | | | | | | (9626) all_14_2 = e2
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | SIMP: (9626) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | (9627) all_14_2 = e2
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | REDUCE: (348), (9627) imply:
% 166.52/24.98 | | | | | | | | | | | | | | | (9628) ~ (all_52_2 = e2)
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | REDUCE: (359), (9627) imply:
% 166.52/24.98 | | | | | | | | | | | | | | | (9629) ~ (all_52_6 = e2)
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | REDUCE: (361), (9627) imply:
% 166.52/24.98 | | | | | | | | | | | | | | | (9630) ~ (all_52_8 = e2)
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | REDUCE: (362), (9627) imply:
% 166.52/24.98 | | | | | | | | | | | | | | | (9631) ~ (all_52_9 = e2)
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | REDUCE: (51), (9627) imply:
% 166.52/24.98 | | | | | | | | | | | | | | | (9632) op(e1, e1) = e2
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | BETA: splitting (9291) gives:
% 166.52/24.98 | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | Case 1:
% 166.52/24.98 | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | (9633) ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 166.52/24.98 | | | | | | | | | | | | | | | | $i(all_20_0)
% 166.52/24.98 | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | ALPHA: (9633) implies:
% 166.52/24.98 | | | | | | | | | | | | | | | | (9634) ~ (all_20_0 = e0)
% 166.52/24.98 | | | | | | | | | | | | | | | | (9635) op(e3, e1) = all_20_0
% 166.52/24.98 | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.52/24.98 | | | | | | | | | | | | | | | |
% 166.52/24.98 | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.98 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | (9636) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | BETA: splitting (9636) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (9637) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (126), (160), (162), (193), (250),
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (8592), (9314), (9632), (9637), (function-axioms)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #250.
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (9638) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | BETA: splitting (9638) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (9639) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ALPHA: (9639) implies:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (9640) op(e1, e2) = e1
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (193), (250), (9314), (9640),
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | #374.
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (9641) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (9631), (9641), (function-axioms)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #247.
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | End of split
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | End of split
% 166.52/24.99 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | (9642) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.52/24.99 | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.52/24.99 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | BETA: splitting (9642) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (9643) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8592), (9299), (9643),
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/24.99 | | | | | | | | | | | | | | | | | | #262.
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (9644) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | BETA: splitting (9644) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (9645) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ALPHA: (9645) implies:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (9646) op(e2, e2) = e2
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (9646), (function-axioms) are
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (9647) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9648) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (9648) implies:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9649) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (9631), (9649), (function-axioms)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #248.
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9650) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ALPHA: (9650) implies:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9651) op(e0, e0) = all_57_15
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9652) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (39), (9651)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9653) all_57_15 = all_6_2
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | all_20_0, e1, e3, simplifying with (169), (9635)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9654) all_52_8 = all_20_0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9654) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9655) all_54_2 = all_20_0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9654) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9656) ~ (all_52_4 = all_20_0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9654) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9657) ~ (all_52_9 = all_20_0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | SIMP: (9657) implies:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9658) ~ (all_52_9 = all_20_0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9654) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9659) ~ (all_52_12 = all_20_0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | SIMP: (9659) implies:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9660) ~ (all_52_12 = all_20_0)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (9630), (9654) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9661) ~ (all_20_0 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (9296), (9654) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | (9662) ~ (all_20_0 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (9663) all_54_2 = e1
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9655), (9663) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (9664) all_20_0 = e1
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9662), (9664) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (9665) $false
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9665) is inconsistent.
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (9666) ~ (all_54_2 = e1)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | (9667) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9667) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | (9668) all_54_2 = e2
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9655), (9668) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | (9669) all_20_0 = e2
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9661), (9669) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | (9670) $false
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9670) is inconsistent.
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | (9671) ~ (all_54_2 = e2)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | (9672) all_54_2 = e3 | all_54_2 = e0
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9672) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | (9673) all_54_2 = e3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9655), (9673) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | (9674) all_20_0 = e3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9656), (9674) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | (9675) ~ (all_52_4 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9658), (9674) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | (9676) ~ (all_52_9 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9660), (9674) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | (9677) ~ (all_52_12 = e3)
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9635), (9674) imply:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | (9678) op(e3, e1) = e3
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9652) gives:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/24.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (9679) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9679) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9680) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9680) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_57_15 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9681) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9682) all_6_2 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (9682) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9683) $false
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9683) is inconsistent.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9684) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9684) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9685) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (193), (250), (9314), (9632),
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9685), (function-axioms) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (9686) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9686) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9687) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9687) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9688) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (9631), (9688), (function-axioms)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #248.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9689) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9689) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9690) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) op(e1, e1) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (219), (9307), (9631),
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9678), (9691), (function-axioms) are inconsistent
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #457.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9692) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) all_57_15 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9693) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) all_6_2 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (9694) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) ~ (all_52_3 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (9694) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) ~ (all_52_7 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (9694) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) ~ (all_52_12 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (9694) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) ~ (e3 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9694) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) op(e0, e0) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9700) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) all_56_9 = e3 & op(e3, e0) = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9701) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) op(e3, e0) = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9677), (9702), (function-axioms) are
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) all_56_10 = e3 & op(e2, e0) = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9703) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) op(e2, e0) = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) all_54_6 = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8586), (9705) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #823.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) ~ (all_54_6 = e1)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9708) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9709) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9710) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) op(e3, e2) = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9675), (9711), (function-axioms) are
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9712) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9713) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) op(e3, e3) = all_57_10
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & $i(all_57_6))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9299), (9678), (9714), (9715), (function-axioms)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #744.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9716) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) op(e1, e3) = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_54_3 = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9718) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) all_52_12 = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9297), (9719) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) $false
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9720) is inconsistent.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9721) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_54_3 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9722) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) all_52_12 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9723) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) ~ (all_52_13 = e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9724) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) ~ (all_52_13 = e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9707) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) all_54_6 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9726) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_52_9 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9631), (9727) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) $false
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9728) is inconsistent.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_54_6 = e3 | all_54_6 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9729) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) all_54_6 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9730) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) all_52_9 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9676), (9731) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) $false
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9732) is inconsistent.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_54_6 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9733) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_52_9 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9734) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) ~ (all_52_1 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9734) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) ~ (all_52_13 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9736) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) ~ (all_52_13 = e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_54_7 = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8587), (9738) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9739) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) all_54_7 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9725), (9740) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) all_54_7 = e3 | all_54_7 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9741) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) all_54_7 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9742) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) all_52_13 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9743) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) all_52_13 = e3
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9744) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) ~ (all_52_1 = e3)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) all_54_4 = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9746) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) all_52_1 = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (9747) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) $false
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9748) is inconsistent.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9749) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) all_54_4 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9750) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_52_1 = e2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (9751) imply:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) ~ (all_52_3 = e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9752) implies:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) ~ (all_52_3 = e2)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (192), (249), (9295), (9695),
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717), (9753), (function-axioms) are inconsistent
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #804.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_54_4 = e3 | all_54_4 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9735), (9745), (9754) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1314.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) all_54_7 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9737), (9755) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #813.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) all_54_3 = e3 | all_54_3 = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9677), (9697), (9756) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1120.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (169), (9296), (9677), (9695),
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757), (function-axioms) are inconsistent by
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #714.
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9758) gives:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9759) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9760) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) op(e2, e1) = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9631), (9761), (function-axioms) are
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8586), (9704), (9762),
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9763) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9764) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) op(e0, e2) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9696), (9765), (function-axioms) are
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9766) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9767) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) ~ (all_57_15 = e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9651), (9699), (9768), (function-axioms) are
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9769) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) op(e1, e0) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) all_54_3 = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9771) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) all_52_12 = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9297), (9772) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) $false
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9773) is inconsistent.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9774) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) all_54_3 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9775) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) all_52_12 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9776) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) all_52_12 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9777) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) ~ (all_52_4 = e2)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) all_54_1 = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9779) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_52_4 = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8583), (9780) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) $false
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9781) is inconsistent.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9782) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) all_54_1 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9783) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) all_52_4 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9778), (9784) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) $false
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9785) is inconsistent.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) all_54_1 = e3 | all_54_1 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9786) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) all_54_1 = e3
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9787) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) all_52_4 = e3
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9675), (9788) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) $false
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9789) is inconsistent.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) all_54_1 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (9790) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) all_52_4 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9791) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) ~ (all_52_6 = e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9792) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) ~ (all_52_6 = e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) all_54_9 = e1
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8584), (9794) are inconsistent by
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9795) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) all_54_9 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9629), (9796) are inconsistent by
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) all_54_9 = e3 | all_54_9 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9797) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) all_54_9 = e3
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9798) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) all_52_6 = e3
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9799) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) all_52_6 = e3
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9800) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) ~ (all_52_2 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (196), (259), (9294), (9628),
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770), (9801), (function-axioms) are inconsistent
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #246.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) all_54_9 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9793), (9802) are inconsistent by
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1141.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) all_54_3 = e3 | all_54_3 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9677), (9697), (9803) are inconsistent by
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1120.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9314), (9699), (9804),
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | #254.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | (9805) all_54_2 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9655), (9805) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | (9806) all_20_0 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9634), (9806) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | (9807) $false
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9807) is inconsistent.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | (9808) ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 166.52/25.01 | | | | | | | | | | | | | | | | $i(all_20_1)
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | ALPHA: (9808) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | (9809) ~ (all_20_1 = e2)
% 166.52/25.01 | | | | | | | | | | | | | | | | (9810) op(e1, e1) = all_20_1
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | REF_CLOSE: (9632), (9809), (9810), (function-axioms) are
% 166.52/25.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #709.
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | (9811) all_56_15 = e1 & op(e0, e0) = e1
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | ALPHA: (9811) implies:
% 166.52/25.01 | | | | | | | | | | | | | | (9812) op(e0, e0) = e1
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 166.52/25.01 | | | | | | | | | | | | | | (9307), (9812), (function-axioms) are inconsistent
% 166.52/25.01 | | | | | | | | | | | | | | by sub-proof #964.
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | (9813) all_56_15 = e1 & op(e0, e0) = e1
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | REF_CLOSE: (39), (9301), (9813), (function-axioms) are
% 166.52/25.01 | | | | | | | | | | | | inconsistent by sub-proof #912.
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | End of split
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | (9814) all_22_2 = e1
% 166.52/25.01 | | | | | | | | | | (9815) ( ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 166.52/25.01 | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e1, e1)
% 166.52/25.01 | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | COMBINE_EQS: (310), (9814) imply:
% 166.52/25.01 | | | | | | | | | | (9816) all_6_2 = e1
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | SIMP: (9816) implies:
% 166.52/25.01 | | | | | | | | | | (9817) all_6_2 = e1
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | COMBINE_EQS: (296), (9817) imply:
% 166.52/25.01 | | | | | | | | | | (9818) all_38_2 = e1
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | REDUCE: (367), (9817) imply:
% 166.52/25.01 | | | | | | | | | | (9819) ~ (all_52_11 = e1)
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | REDUCE: (370), (9817) imply:
% 166.52/25.01 | | | | | | | | | | (9820) ~ (all_52_14 = e1)
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | REDUCE: (372), (9817) imply:
% 166.52/25.01 | | | | | | | | | | (9821) ~ (e3 = e1)
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | REDUCE: (39), (9817) imply:
% 166.52/25.01 | | | | | | | | | | (9822) op(e0, e0) = e1
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | BETA: splitting (214) gives:
% 166.52/25.01 | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | (9823) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 166.52/25.01 | | | | | | | | | | | & op(e1, e2) = e1)
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | REF_CLOSE: (162), (163), (8584), (9294), (9823),
% 166.52/25.01 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.01 | | | | | | | | | | | #889.
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | (9824) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 166.52/25.01 | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | BETA: splitting (9824) gives:
% 166.52/25.01 | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | (9825) all_56_8 = e1 & op(e1, e1) = e1
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | ALPHA: (9825) implies:
% 166.52/25.01 | | | | | | | | | | | | (9826) op(e1, e1) = e1
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | BETA: splitting (88) gives:
% 166.52/25.01 | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | (9827) ~ (all_38_2 = e1)
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | REDUCE: (9818), (9827) imply:
% 166.52/25.01 | | | | | | | | | | | | | (9828) $false
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | CLOSE: (9828) is inconsistent.
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | (9829) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 166.52/25.01 | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 166.52/25.01 | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.52/25.01 | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | (9830) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.52/25.01 | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | BETA: splitting (9830) gives:
% 166.52/25.01 | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | (9831) all_56_12 = e3 & op(e0, e3) = e3
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | ALPHA: (9831) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | (9832) all_56_12 = e3
% 166.52/25.01 | | | | | | | | | | | | | | | (9833) op(e0, e3) = e3
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 166.52/25.01 | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (9833) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | (9834) all_52_3 = e3
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | REDUCE: (148), (9834) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | (9835) ~ (all_52_1 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | REDUCE: (144), (9834) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | (9836) ~ (all_52_2 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | REDUCE: (140), (9834) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | (9837) ~ (all_52_7 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | SIMP: (9837) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | (9838) ~ (all_52_7 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | REDUCE: (139), (9834) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | (9839) ~ (all_52_11 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | SIMP: (9839) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | (9840) ~ (all_52_11 = e3)
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 166.52/25.01 | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | (9841) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 166.52/25.01 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | BETA: splitting (9841) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | (9842) all_56_12 = e2 & op(e0, e3) = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | ALPHA: (9842) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | (9843) op(e0, e3) = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9833), (9843), (function-axioms) are
% 166.52/25.01 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | (9844) all_56_13 = e2 & op(e0, e2) = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | ALPHA: (9844) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | (9845) all_56_13 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | (9846) op(e0, e2) = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | (9847) all_56_15 = e0 & op(e0, e0) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | ALPHA: (9847) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | (9848) op(e0, e0) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (157), (159), (207), (9295), (9819),
% 166.52/25.01 | | | | | | | | | | | | | | | | | | (9845), (9848), (function-axioms) are inconsistent
% 166.52/25.01 | | | | | | | | | | | | | | | | | | by sub-proof #780.
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | (9849) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | ALPHA: (9849) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | (9850) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | e1) = e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | BETA: splitting (9850) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | (9851) all_56_12 = e0 & op(e0, e3) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9832), (9851) are inconsistent by sub-proof
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | #1382.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | (9852) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (9852) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9853) all_56_13 = e0 & op(e0, e2) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (9853) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9854) all_56_13 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9845), (9854) are inconsistent by sub-proof
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | #768.
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9855) all_56_14 = e0 & op(e0, e1) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (9855) implies:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9856) op(e0, e1) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (9856) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9857) all_52_11 = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9846) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9858) all_52_7 = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9858) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9859) ~ (all_52_4 = e2)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (9840), (9857) imply:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | (9860) ~ (e3 = e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (9861) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9861) gives:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.01 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (9862) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9862) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9863) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9863) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9864) op(e2, e3) = e3
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (9864) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9865) all_52_1 = e3
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9835), (9865) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9866) $false
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9866) is inconsistent.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9867) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9867) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9868) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9868) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9869) op(e3, e2) = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9859), (9869), (function-axioms) are
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9870) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9870) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9871) op(e1, e3) = e3
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9836), (9871), (function-axioms) are
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (9872) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9872) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9873) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9873) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9874) op(e3, e1) = e1
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9296), (9874), (function-axioms) are
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9875) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9875) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9876) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9876) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9877) op(e0, e0) = all_57_15
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9878) ~ (all_57_15 = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9822), (9856), (9877), (9878), (function-axioms)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #642.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9879) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9879) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9880) op(e0, e3) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e3,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (9833), (9880) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9881) e3 = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (9881) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9882) $false
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9882) is inconsistent.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (9883) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9883) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (9884) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9884) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9885) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9885) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9886) ~ (all_57_14 = e1)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9887) op(e1, e1) = all_57_14
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9826), (9886), (9887), (function-axioms) are
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9888) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9888) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9889) all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11))) & ( ~ (e2 = e1) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e1, e1) = all_57_12))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9889) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9890) op(e2, e1) = e1
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8586), (9890), (function-axioms) are
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #257.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9891) all_57_5 = e2 & all_57_11 = e2 & ~ (all_57_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e0) = e2 & op(e0, e2) = e2 & op(e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9891) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9892) op(e0, e0) = all_57_15
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | (9893) ~ (all_57_15 = e1) | ( ~ (all_57_8 = e0) & op(e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_8 & $i(all_57_8))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9822), (9856), (9892), (9893), (function-axioms)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #642.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (9894) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9894) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9895) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9895) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9896) op(e0, e2) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e2,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (9846), (9896) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9897) e2 = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (9897) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9898) $false
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9898) is inconsistent.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (9899) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9819), (9826), (9899), (function-axioms)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #896.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | End of split
% 166.52/25.02 | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | (9900) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 166.52/25.02 | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.52/25.02 | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | BETA: splitting (9900) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | (9901) all_56_14 = e2 & op(e0, e1) = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | ALPHA: (9901) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | (9902) all_56_14 = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | | (9903) op(e0, e1) = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | (9904) all_56_15 = e0 & op(e0, e0) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | ALPHA: (9904) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | (9905) op(e0, e0) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9822), (9905), (function-axioms) are
% 166.52/25.02 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | (9906) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | ALPHA: (9906) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | (9907) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | e1) = e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | BETA: splitting (9907) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | (9908) all_56_12 = e0 & op(e0, e3) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9832), (9908) are inconsistent by sub-proof
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | #1382.
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | (9909) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (9909) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9910) all_56_13 = e0 & op(e0, e2) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9911) op(e0, e2) = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (9903) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9912) all_52_11 = e2
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9911) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9913) all_52_7 = e0
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9912), (9913) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9914) ~ (e2 = e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (9838), (9913) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9915) ~ (e3 = e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (8585), (9913) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9916) ~ (e1 = e0)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9912) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9917) ~ (all_52_9 = e2)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (9840), (9912) imply:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | (9918) ~ (e3 = e2)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | (9919) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9919) gives:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.02 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (9920) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (8592), (9299), (9826), (9920),
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | #245.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (9921) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9921) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9922) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9922) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9923) op(e1, e2) = e1
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8584), (9923), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9924) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (9917), (9924), (function-axioms)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #247.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (9925) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9925) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (9926) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9926) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9927) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9927) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9928) op(e3, e3) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9299), (9928), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9929) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9929) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (9930) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9930) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (9931) op(e3, e3) = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (233), (9294), (9832), (9931), (function-axioms)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #997.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (9932) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9932) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | (9933) op(e2, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (9933), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (9934) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9934) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9935) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9935) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9936) op(e2, e2) = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (9936), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9937) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (160), (165), (8592), (9820),
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9822), (9917), (9937), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #242.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | (9938) all_56_14 = e0 & op(e0, e1) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | ALPHA: (9938) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | (9939) all_56_14 = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9902), (9939) are inconsistent by sub-proof
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | #1238.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | (9940) all_56_15 = e2 & op(e0, e0) = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | ALPHA: (9940) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | (9941) op(e0, e0) = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9822), (9941), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | End of split
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | (9942) all_56_13 = e3 & op(e0, e2) = e3
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | ALPHA: (9942) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | (9943) all_56_13 = e3
% 166.52/25.03 | | | | | | | | | | | | | | | (9944) op(e0, e2) = e3
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 166.52/25.03 | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (9944) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | (9945) all_52_7 = e3
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | REDUCE: (140), (9945) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | (9946) ~ (all_52_3 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | REDUCE: (135), (9945) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | (9947) ~ (all_52_4 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | REDUCE: (128), (9945) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | (9948) ~ (all_52_6 = e3)
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 166.52/25.03 | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | (9949) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | BETA: splitting (9949) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | (9950) all_56_1 = e2 & op(e3, e2) = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | ALPHA: (9950) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | (9951) all_56_1 = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | | (9952) op(e3, e2) = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | (9953) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8592), (9952), (9953),
% 166.52/25.03 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.03 | | | | | | | | | | | | | | | | | | #240.
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | (9954) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.52/25.03 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | BETA: splitting (9954) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9955) all_56_7 = e0 & op(e1, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | ALPHA: (9955) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9956) op(e1, e2) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (9956) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9957) all_52_6 = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (9952) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9958) all_52_4 = e2
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9958) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9959) ~ (all_52_8 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | SIMP: (9959) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9960) ~ (all_52_8 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9958) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9961) ~ (all_52_12 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | SIMP: (9961) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9962) ~ (all_52_12 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | REDUCE: (9947), (9958) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9963) ~ (e3 = e2)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9957) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9964) ~ (all_52_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | SIMP: (9964) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9965) ~ (all_52_14 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | REDUCE: (9948), (9957) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9966) ~ (e3 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | REDUCE: (8584), (9957) imply:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | (9967) ~ (e1 = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | (9968) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (9299), (9947), (9968),
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | #362.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | (9969) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9969) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (9970) all_56_4 = e3 & op(e3, e1) = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9970) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | (9971) op(e3, e1) = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (9972) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9299), (9952), (9972),
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | #239.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | (9973) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9973) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9974) all_56_4 = e0 & op(e3, e1) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9974) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9975) op(e3, e1) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9971), (9975), (function-axioms) are
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9976) all_56_9 = e0 & op(e3, e0) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9976) implies:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9977) op(e3, e0) = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (9977) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9978) all_52_12 = e0
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9971) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | (9979) all_52_8 = e3
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (9980) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9980) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (9981) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9981) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9982) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) op(e3, e2) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9947), (9983), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9984) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9985) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) op(e3, e3) = all_57_10
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & $i(all_57_6))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9299), (9971), (9986), (9987), (function-axioms)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #744.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9988) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) ~ (all_57_14 = e1)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) op(e1, e1) = all_57_14
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9826), (9989), (9990), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (9991) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (9296), (9299), (9946), (9971),
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (9991), (function-axioms) are inconsistent by
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #237.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (9992) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9992) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (9993) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8586), (9826), (9944), (9993),
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | #235.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (9994) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (160), (9819), (9944), (9965), (9994),
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | #234.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | (9995) all_56_9 = e3 & op(e3, e0) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9995) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | (9996) op(e3, e0) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | (9997) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9299), (9952), (9997),
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | #239.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | (9998) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9998) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | (9999) all_56_4 = e0 & op(e3, e1) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9999) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | (10000) op(e3, e1) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_56_15 = e0 & op(e0, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10001) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (10002) op(e0, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9822), (10002), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (10003) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10003) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (10004) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | (10005) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (10006) all_56_9 = e0 & op(e3, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10006) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (10007) op(e3, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9996), (10007), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | (10008) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10008) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) all_56_10 = e0 & op(e2, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10009) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) all_56_10 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) op(e2, e0) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10012) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) all_56_4 = e3 & op(e3, e1) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10013) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) op(e3, e1) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10000), (10014), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #871.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) all_56_5 = e3 & op(e2, e1) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10015) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) all_56_5 = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) op(e2, e1) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10018) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) all_56_9 = e2 & op(e3, e0) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10019) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) op(e3, e0) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9996), (10020), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10021) all_56_10 = e2 & op(e2, e0) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10021) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10022) all_56_10 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10010), (10022) are inconsistent by
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1030.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10023) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10023) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10024) all_56_11 = e2 & op(e1, e0) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10024) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025) all_56_11 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) op(e1, e0) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10027) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10028) all_56_6 = e3 & op(e1, e3) = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10028) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10029) all_56_6 = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10030) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10030) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10031) all_56_4 = e2 & op(e3, e1) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9960), (10031), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10032) all_56_5 = e2 & op(e2, e1) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10016), (10032) are inconsistent by
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1356.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10033) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10033) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10034) all_56_8 = e2 & op(e1, e1) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (162), (163), (214), (8584), (9294),
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9820), (10034), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #888.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10035) all_56_14 = e2 & op(e0, e1) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10035) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10036) all_56_14 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037) op(e0, e1) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10004) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10038) all_56_12 = e0 & op(e0, e3) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10038) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10039) all_56_12 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10040) op(e0, e3) = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10041) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10041) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10042) all_56_0 = e2 & op(e3, e3) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10042) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10043) op(e3, e3) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9299), (10043), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10044) all_56_2 = e2 & op(e2, e3) = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10044) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10045) all_56_2 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (10037) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10046) all_52_11 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (10040) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10047) all_52_3 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (10026) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10048) all_52_14 = e2
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (10011) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049) all_52_13 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (10017) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10050) all_52_9 = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (9996) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10051) all_52_12 = e3
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (10000) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10052) all_52_8 = e0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8580) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10053) ~ (all_10_0 = e3) & op(e2, e1) = all_10_0 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10053) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10054) ~ (all_10_0 = e3)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10055) op(e2, e1) = all_10_0
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10017), (10054), (10055), (function-axioms) are
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10056) ~ (all_10_1 = e0) & op(e1, e1) = all_10_1 &
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10056) implies:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10057) ~ (all_10_1 = e0)
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10058) op(e1, e1) = all_10_1
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10059) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10059) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10060) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10060) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10061) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10061) implies:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10062) op(e3, e2) = e3
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9947), (10062), (function-axioms) are
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10063) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10063) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10064) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10064) implies:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10065) op(e3, e3) = all_57_10
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10066) ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_9 & $i(all_57_9))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10067) ~ (all_57_10 = e1) | ( ~ (all_57_6 = e3) & op(e3,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_6 & $i(all_57_6))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10068) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10068) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10069) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (8592), (9826), (9947), (10069),
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #231.
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10070) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10070) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10071) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10071) implies:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10072) op(e1, e2) = e1
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9956), (10072), (function-axioms) are
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10073) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10073) gives:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10074) implies:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10075) op(e3, e1) = e3
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9299), (10065), (10067), (10075),
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #744.
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.52/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10076) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10076) implies:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10077) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9299), (10000), (10077), (function-axioms)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #867.
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10078) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10078) gives:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10079) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10079) gives:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10080) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10080) implies:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10081) op(e3, e3) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9996), (10065), (10066), (10081),
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10082) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10082) gives:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10083) implies:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10084) op(e3, e3) = e3
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (212), (221),
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (230), (232), (234), (372), (10016),
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025), (10084), (function-axioms) are
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10085) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10085) implies:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086) op(e2, e2) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (10086), (function-axioms) are
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10087) gives:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10088) implies:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) op(e2, e2) = e2
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) all_56_9 = e0 & op(e3, e0) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10090) implies:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) op(e3, e0) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9996), (10091), (function-axioms) are
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10008) gives:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (222), (224),
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010), (10045), (10089), (function-axioms) are
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #416.
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) all_56_11 = e0 & op(e1, e0) = e0
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10092) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) op(e1, e0) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9965), (10093), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10094) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10095) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9299), (10000), (10096), (function-axioms)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #867.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10097) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10097) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) op(e0, e0) = all_57_15
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9291) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) ~ (all_20_0 = e0) & op(e3, e1) = all_20_0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10000), (10100), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #260.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) ~ (all_20_1 = e2) & op(e1, e1) = all_20_1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10101) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) op(e1, e1) = all_20_1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9815) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103) ~ (all_22_0 = e2) & op(e0, e1) = all_22_0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10103) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10104) ~ (all_22_0 = e2)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10105) op(e0, e1) = all_22_0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10037), (10104), (10105), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #720.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10106) ~ (all_22_1 = e3) & op(e1, e1) = all_22_1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10106) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) ~ (all_22_1 = e3)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) op(e1, e1) = all_22_1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (9822),
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10109) all_57_15 = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_1, e1, e1, simplifying with (10058),
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) all_20_1 = all_10_1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_22_1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (9826), (10108) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) all_22_1 = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_1, e1, e1, simplifying with (10102),
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10112) all_22_1 = all_20_1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10, e3, e3, simplifying with (9299),
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10065) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10113) all_57_10 = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10111), (10112) imply:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10114) all_20_1 = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10114) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10115) all_20_1 = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10110), (10115) imply:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10116) all_10_1 = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10099) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10117) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10117) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10118) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10109), (10118) are inconsistent by
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #244.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10119) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10119) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10120) op(e0, e2) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9944), (10120), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10121) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10121) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10122) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10122) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10123) (all_57_6 = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9299), (10000), (10123), (function-axioms)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #867.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10124) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (9820), (10109), (10124),
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #243.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10125) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10126) ~ (all_57_14 = e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127) op(e1, e1) = all_57_14
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9826), (10126), (10127), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10128) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10129) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10130) op(e3, e1) = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9296), (10130), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10131) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10131) gives:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10132) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10132) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133) op(e0, e3) = e3
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10040), (10133), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #258.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10134) implies:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) op(e3, e0) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9996), (10135), (function-axioms) are
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.78/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10136) gives:
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10137) gives:
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10138) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) ~ (all_57_14 = e1)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) op(e1, e1) = all_57_14
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9826), (10139), (10140), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (165), (9944), (10017), (10141),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (160), (9819), (9944), (9965),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142), (function-axioms) are inconsistent by
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10143) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) all_56_6 = e2 & op(e1, e3) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10029), (10144) are inconsistent by
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #230.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) all_56_12 = e2 & op(e0, e3) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10039), (10145) are inconsistent by
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1355.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9944), (10036), (10146),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1060.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) all_56_7 = e3 & op(e1, e2) = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10147) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) all_56_7 = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (8592), (9943), (9951),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148), (function-axioms) are inconsistent by
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1087.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10149) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) all_56_8 = e3 & op(e1, e1) = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10150) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) op(e1, e1) = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9826), (10151), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1254.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) all_56_11 = e3 & op(e1, e0) = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10152) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) all_56_11 = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10025), (10153) are inconsistent by
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1072.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) all_56_15 = e2 & op(e0, e0) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10154) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) op(e0, e0) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9822), (10155), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (207), (208),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826), (9943), (9944), (10156), (function-axioms)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #293.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) all_56_11 = e0 & op(e1, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10157) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) op(e1, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9965), (10158), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10159) all_56_9 = e0 & op(e3, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10159) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10160) op(e3, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9996), (10160), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10161) all_56_13 = e0 & op(e0, e2) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | ALPHA: (10161) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10162) op(e0, e2) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9944), (10162), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | (10163) all_56_3 = e2 & op(e2, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | ALPHA: (10163) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | (10164) op(e2, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (10164), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | (10165) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 166.84/25.07 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.84/25.07 | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | BETA: splitting (10165) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | (10166) all_56_7 = e2 & op(e1, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | ALPHA: (10166) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | (10167) all_56_7 = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | (10168) op(e1, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | (10169) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | BETA: splitting (10169) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10170) all_56_1 = e0 & op(e3, e2) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | ALPHA: (10170) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10171) op(e3, e2) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (10168) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10172) all_52_6 = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10171) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10173) all_52_4 = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10172), (10173) imply:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10174) ~ (e2 = e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10173) imply:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10175) ~ (all_52_12 = e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | SIMP: (10175) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10176) ~ (all_52_12 = e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | REDUCE: (9947), (10173) imply:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10177) ~ (e3 = e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | REDUCE: (9948), (10172) imply:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | (10178) ~ (e3 = e2)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (10179) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10179) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (10180) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10180) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (10181) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10181) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (10182) op(e3, e2) = e3
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9947), (10182), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (10183) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10183) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10184) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10184) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10185) op(e3, e2) = e2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (10171), (10185) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10186) e2 = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (10186) imply:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10187) $false
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10187) is inconsistent.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10188) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10188) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10189) ~ (all_57_14 = e1)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | (10190) op(e1, e1) = all_57_14
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9826), (10189), (10190), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (10191) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (169), (9296), (9946), (10176),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (10191), (function-axioms) are inconsistent by
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | sub-proof #229.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (10192) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10192) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (10193) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8586), (9826), (9944), (10193),
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | #235.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (10194) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10194) gives:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (10195) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10195) implies:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | (10196) op(e0, e2) = e0
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9944), (10196), (function-axioms) are
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.07 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (10197) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9819), (9826), (10197), (function-axioms)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #896.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10198) all_56_3 = e0 & op(e2, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ALPHA: (10198) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10199) op(e2, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (10199), (function-axioms) are
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10200) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | BETA: splitting (10200) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10201) all_56_7 = e0 & op(e1, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ALPHA: (10201) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10202) all_56_7 = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10167), (10202) are inconsistent by
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | sub-proof #1036.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10203) all_56_13 = e0 & op(e0, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ALPHA: (10203) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10204) op(e0, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9944), (10204), (function-axioms) are
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (10205) all_56_13 = e2 & op(e0, e2) = e2
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | ALPHA: (10205) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | (10206) op(e0, e2) = e2
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9944), (10206), (function-axioms) are
% 166.84/25.08 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | (10207) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.84/25.08 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.84/25.08 | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | BETA: splitting (10207) gives:
% 166.84/25.08 | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | (10208) all_56_14 = e3 & op(e0, e1) = e3
% 166.84/25.08 | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | ALPHA: (10208) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | (10209) all_56_14 = e3
% 166.84/25.08 | | | | | | | | | | | | | | | (10210) op(e0, e1) = e3
% 166.84/25.08 | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.84/25.08 | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (10210) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | (10211) all_52_11 = e3
% 166.84/25.08 | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.84/25.08 | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | (10212) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | BETA: splitting (10212) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (10213) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (8592), (9299), (9826), (10213),
% 166.84/25.08 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.08 | | | | | | | | | | | | | | | | | #245.
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (10214) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | BETA: splitting (10214) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10215) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ALPHA: (10215) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10216) op(e1, e2) = e1
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8584), (10216), (function-axioms) are
% 166.84/25.08 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10217) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10218) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ALPHA: (10218) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10219) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9822), (10210), (10219), (function-axioms)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #366.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10220) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ALPHA: (10220) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10221) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9822), (10210), (10221), (function-axioms)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #366.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | End of split
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | (10222) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.84/25.08 | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.84/25.08 | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.84/25.08 | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.84/25.08 | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.84/25.08 | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.84/25.08 | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.08 | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.84/25.08 | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.84/25.08 | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | BETA: splitting (10222) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (10223) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (8592), (9299), (10223),
% 166.84/25.08 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.08 | | | | | | | | | | | | | | | | | #262.
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (10224) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.84/25.08 | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | BETA: splitting (10224) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10225) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ALPHA: (10225) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10226) op(e2, e2) = e2
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (10226), (function-axioms) are
% 166.84/25.08 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (10227) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.84/25.08 | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | BETA: splitting (10227) gives:
% 166.84/25.08 | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10228) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ALPHA: (10228) implies:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10229) (all_57_8 = e0 & op(e0, e1) = e0) | ( ~ (all_57_15
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | = e1) & op(e0, e0) = all_57_15 &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9822), (10210), (10229), (function-axioms)
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #366.
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.08 | | | | | | | | | | | | | | | | | | |
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (10230) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 166.84/25.08 | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ALPHA: (10230) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (10231) op(e0, e0) = all_57_15
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (10232) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (160), (206), (208),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (209), (9820), (9822), (9826), (9829), (10209),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (10210), (10231), (10232), (function-axioms) are
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | (10233) all_56_15 = e3 & op(e0, e0) = e3
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | ALPHA: (10233) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | (10234) op(e0, e0) = e3
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | REF_CLOSE: (8), (9822), (10234), (function-axioms) are
% 166.84/25.09 | | | | | | | | | | | | | | | inconsistent by sub-proof #992.
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | (10235) all_56_11 = e1 & op(e1, e0) = e1
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | ALPHA: (10235) implies:
% 166.84/25.09 | | | | | | | | | | | | (10236) op(e1, e0) = e1
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | REF_CLOSE: (160), (9820), (10236), (function-axioms) are
% 166.84/25.09 | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | |
% 166.84/25.09 | | | | | | | | End of split
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | (10237) all_18_2 = e0
% 166.84/25.09 | | | | | | | | (10238) ( ~ (all_18_0 = e1) & op(e3, e0) = all_18_0 &
% 166.84/25.09 | | | | | | | | $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e0, e0) =
% 166.84/25.09 | | | | | | | | all_18_1 & $i(all_18_1))
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | COMBINE_EQS: (327), (10237) imply:
% 166.84/25.09 | | | | | | | | (10239) all_4_2 = e0
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | COMBINE_EQS: (281), (10239) imply:
% 166.84/25.09 | | | | | | | | (10240) all_48_2 = e0
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (336), (10239) imply:
% 166.84/25.09 | | | | | | | | (10241) ~ (all_52_1 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (338), (10239) imply:
% 166.84/25.09 | | | | | | | | (10242) ~ (all_52_2 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (340), (10239) imply:
% 166.84/25.09 | | | | | | | | (10243) ~ (all_52_3 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (342), (10239) imply:
% 166.84/25.09 | | | | | | | | (10244) ~ (all_52_4 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (344), (10239) imply:
% 166.84/25.09 | | | | | | | | (10245) ~ (all_52_8 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (346), (10239) imply:
% 166.84/25.09 | | | | | | | | (10246) ~ (all_52_12 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (371), (10239) imply:
% 166.84/25.09 | | | | | | | | (10247) ~ (e2 = e0)
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | REDUCE: (36), (10239) imply:
% 166.84/25.09 | | | | | | | | (10248) op(e3, e3) = e0
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | BETA: splitting (64) gives:
% 166.84/25.09 | | | | | | | |
% 166.84/25.09 | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | |
% 166.84/25.09 | | | | | | | | | (10249) ~ (all_22_2 = e1)
% 166.84/25.09 | | | | | | | | |
% 166.84/25.09 | | | | | | | | | REDUCE: (310), (10249) imply:
% 166.84/25.09 | | | | | | | | | (10250) ~ (all_6_2 = e1)
% 166.84/25.09 | | | | | | | | |
% 166.84/25.09 | | | | | | | | | BETA: splitting (67) gives:
% 166.84/25.09 | | | | | | | | |
% 166.84/25.09 | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | (10251) ~ (all_24_2 = e2)
% 166.84/25.09 | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | REDUCE: (322), (10251) imply:
% 166.84/25.09 | | | | | | | | | | (10252) ~ (all_14_2 = e2)
% 166.84/25.09 | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | BETA: splitting (70) gives:
% 166.84/25.09 | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | (10253) ~ (all_26_2 = e3)
% 166.84/25.09 | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | REDUCE: (303), (10253) imply:
% 166.84/25.09 | | | | | | | | | | | (10254) ~ (all_14_2 = e3)
% 166.84/25.09 | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | BETA: splitting (194) gives:
% 166.84/25.09 | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | (10255) all_54_10 = e1
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | COMBINE_EQS: (334), (10255) imply:
% 166.84/25.09 | | | | | | | | | | | | (10256) all_14_2 = e1
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | SIMP: (10256) implies:
% 166.84/25.09 | | | | | | | | | | | | (10257) all_14_2 = e1
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | REDUCE: (366), (10257) imply:
% 166.84/25.09 | | | | | | | | | | | | (10258) ~ (all_52_14 = e1)
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | REDUCE: (10254), (10257) imply:
% 166.84/25.09 | | | | | | | | | | | | (10259) ~ (e3 = e1)
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | REDUCE: (10252), (10257) imply:
% 166.84/25.09 | | | | | | | | | | | | (10260) ~ (e2 = e1)
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | REDUCE: (51), (10257) imply:
% 166.84/25.09 | | | | | | | | | | | | (10261) op(e1, e1) = e1
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | BETA: splitting (210) gives:
% 166.84/25.09 | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | (10262) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 166.84/25.09 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 166.84/25.09 | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | BETA: splitting (10262) gives:
% 166.84/25.09 | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | (10263) all_56_9 = e1 & op(e3, e0) = e1
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | ALPHA: (10263) implies:
% 166.84/25.09 | | | | | | | | | | | | | | (10264) all_56_9 = e1
% 166.84/25.09 | | | | | | | | | | | | | | (10265) op(e3, e0) = e1
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 166.84/25.09 | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (10265) gives:
% 166.84/25.09 | | | | | | | | | | | | | | (10266) all_52_12 = e1
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | REDUCE: (112), (10266) imply:
% 166.84/25.09 | | | | | | | | | | | | | | (10267) ~ (all_52_14 = e1)
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | REDUCE: (368), (10266) imply:
% 166.84/25.09 | | | | | | | | | | | | | | (10268) ~ (all_6_2 = e1)
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | BETA: splitting (10238) gives:
% 166.84/25.09 | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | (10269) ~ (all_18_0 = e1) & op(e3, e0) = all_18_0 &
% 166.84/25.09 | | | | | | | | | | | | | | | $i(all_18_0)
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | ALPHA: (10269) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | (10270) ~ (all_18_0 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | (10271) op(e3, e0) = all_18_0
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_18_0,
% 166.84/25.09 | | | | | | | | | | | | | | | e0, e3, simplifying with (10265), (10271) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | (10272) all_18_0 = e1
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | REDUCE: (10270), (10272) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | (10273) $false
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | CLOSE: (10273) is inconsistent.
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | (10274) ~ (all_18_1 = e2) & op(e0, e0) = all_18_1 &
% 166.84/25.09 | | | | | | | | | | | | | | | $i(all_18_1)
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | ALPHA: (10274) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | (10275) ~ (all_18_1 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | (10276) op(e0, e0) = all_18_1
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 166.84/25.09 | | | | | | | | | | | | | | | all_18_1, e0, e0, simplifying with (39), (10276)
% 166.84/25.09 | | | | | | | | | | | | | | | gives:
% 166.84/25.09 | | | | | | | | | | | | | | | (10277) all_18_1 = all_6_2
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | REDUCE: (10275), (10277) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | (10278) ~ (all_6_2 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 166.84/25.09 | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | (10279) all_54_15 = e1
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | REF_CLOSE: (246), (10250), (10279) are inconsistent by
% 166.84/25.09 | | | | | | | | | | | | | | | | sub-proof #1396.
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | (10280) ~ (all_54_15 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | (10281) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | BETA: splitting (10281) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | (10282) all_54_15 = e2
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (10278), (10282) are inconsistent by
% 166.84/25.09 | | | | | | | | | | | | | | | | | sub-proof #909.
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | (10283) ~ (all_54_15 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | (10284) all_54_15 = e3 | all_54_15 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | BETA: splitting (10284) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10285) all_54_15 = e3
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (10285) are inconsistent by
% 166.84/25.09 | | | | | | | | | | | | | | | | | | sub-proof #1378.
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10286) all_54_15 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (10286) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10287) all_6_2 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | SIMP: (10287) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10288) all_6_2 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | REDUCE: (360), (10288) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10289) ~ (all_52_7 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | REDUCE: (367), (10288) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10290) ~ (all_52_11 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | REDUCE: (372), (10288) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10291) ~ (e3 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | REDUCE: (10250), (10288) imply:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | (10292) ~ (e1 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (10293) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (8592), (10244), (10293),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | #227.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | (10294) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (10294) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | (10295) all_56_7 = e0 & op(e1, e2) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (10295) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | (10296) op(e1, e2) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | (10297) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (8592), (10241), (10297),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | #226.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | (10298) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10298) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | (10299) all_56_5 = e0 & op(e2, e1) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10299) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | (10300) op(e2, e1) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (10301) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10301) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (10302) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10302) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10303) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10303) implies:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10304) op(e2, e2) = e3
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8592), (10304), (function-axioms) are
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10305) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (10248), (10261), (10305),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | #225.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (10306) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (236), (10245), (10264), (10296), (10300),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (10306), (function-axioms) are inconsistent by
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (10307) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10307) gives:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (10308) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (8592), (10248), (10265), (10308),
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (10309) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10309) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10310) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10310) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10311) op(e2, e2) = e2
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (10311), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10312) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10312) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (10313) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10313) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (10314) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8592), (10300), (10314), (function-axioms)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #218.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10315) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (158), (159), (160), (10243), (10248),
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (10258), (10265), (10289), (10290), (10316),
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | | #216.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | (10317) all_56_10 = e0 & op(e2, e0) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10317) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | (10318) op(e2, e0) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (246), (369), (372), (10284), (10318),
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | | #437.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10319) all_56_13 = e0 & op(e0, e2) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | ALPHA: (10319) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10320) op(e0, e2) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10289), (10320), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | (10321) all_56_10 = e1 & op(e2, e0) = e1
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | REF_CLOSE: (164), (8587), (10321), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | (10322) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 166.84/25.10 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | REF_CLOSE: (39), (160), (10250), (10258), (10322),
% 166.84/25.10 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.10 | | | | | | | | | | | | | #838.
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | (10323) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | REF_CLOSE: (334), (8593), (10252), (10254), (10323) are
% 166.84/25.10 | | | | | | | | | | | | inconsistent by sub-proof #956.
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | (10324) all_26_2 = e3
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | COMBINE_EQS: (303), (10324) imply:
% 166.84/25.10 | | | | | | | | | | | (10325) all_14_2 = e3
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | SIMP: (10325) implies:
% 166.84/25.10 | | | | | | | | | | | (10326) all_14_2 = e3
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | COMBINE_EQS: (332), (10326) imply:
% 166.84/25.10 | | | | | | | | | | | (10327) all_42_2 = e3
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | REDUCE: (348), (10326) imply:
% 166.84/25.10 | | | | | | | | | | | (10328) ~ (all_52_2 = e3)
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | REDUCE: (362), (10326) imply:
% 166.84/25.10 | | | | | | | | | | | (10329) ~ (all_52_9 = e3)
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | REDUCE: (366), (10326) imply:
% 166.84/25.10 | | | | | | | | | | | (10330) ~ (all_52_14 = e3)
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | REDUCE: (51), (10326) imply:
% 166.84/25.10 | | | | | | | | | | | (10331) op(e1, e1) = e3
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | BETA: splitting (82) gives:
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | (10332) ~ (all_34_2 = e1)
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | REDUCE: (8581), (10332) imply:
% 166.84/25.10 | | | | | | | | | | | | (10333) $false
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | CLOSE: (10333) is inconsistent.
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | (10334) ( ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.84/25.10 | | | | | | | | | | | | $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e1, e1)
% 166.84/25.10 | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | BETA: splitting (94) gives:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | (10335) ~ (all_42_2 = e3)
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | REDUCE: (10327), (10335) imply:
% 166.84/25.10 | | | | | | | | | | | | | (10336) $false
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | CLOSE: (10336) is inconsistent.
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | (10337) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 166.84/25.10 | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 166.84/25.10 | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | BETA: splitting (10337) gives:
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | (10338) ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 166.84/25.10 | | | | | | | | | | | | | | $i(all_42_0)
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | ALPHA: (10338) implies:
% 166.84/25.10 | | | | | | | | | | | | | | (10339) ~ (all_42_0 = e2)
% 166.84/25.10 | | | | | | | | | | | | | | (10340) op(e1, e3) = all_42_0
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | BETA: splitting (10334) gives:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | (10341) ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.84/25.10 | | | | | | | | | | | | | | | $i(all_34_0)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | ALPHA: (10341) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | (10342) ~ (all_34_0 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | (10343) op(e2, e1) = all_34_0
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 166.84/25.10 | | | | | | | | | | | | | | | all_42_0, e3, e1, simplifying with (163), (10340)
% 166.84/25.10 | | | | | | | | | | | | | | | gives:
% 166.84/25.10 | | | | | | | | | | | | | | | (10344) all_52_2 = all_42_0
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 166.84/25.10 | | | | | | | | | | | | | | | all_34_0, e1, e2, simplifying with (165), (10343)
% 166.84/25.10 | | | | | | | | | | | | | | | gives:
% 166.84/25.10 | | | | | | | | | | | | | | | (10345) all_52_9 = all_34_0
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | COMBINE_EQS: (259), (10344) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10346) all_54_8 = all_42_0
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | COMBINE_EQS: (261), (10345) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10347) all_54_6 = all_34_0
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | REDUCE: (141), (10344) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10348) ~ (all_52_14 = all_42_0)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | SIMP: (10348) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | (10349) ~ (all_52_14 = all_42_0)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | REDUCE: (10328), (10344) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10350) ~ (all_42_0 = e3)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | REDUCE: (10329), (10345) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10351) ~ (all_34_0 = e3)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | REDUCE: (8586), (10345) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10352) ~ (all_34_0 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | (10353) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (8592), (10241), (10353),
% 166.84/25.10 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.10 | | | | | | | | | | | | | | | | #226.
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | (10354) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 166.84/25.10 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | BETA: splitting (10354) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | (10355) all_56_5 = e0 & op(e2, e1) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (198), (10342), (10343), (10347), (10351),
% 166.84/25.10 | | | | | | | | | | | | | | | | | (10352), (10355), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #215.
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | (10356) all_56_10 = e0 & op(e2, e0) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | ALPHA: (10356) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | (10357) op(e2, e0) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | (10358) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | BETA: splitting (10358) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10359) all_56_9 = e3 & op(e3, e0) = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | ALPHA: (10359) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10360) op(e3, e0) = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10361) all_54_8 = e1
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10346), (10361) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10362) all_42_0 = e1
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (10349), (10362) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10363) ~ (all_52_14 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (10350), (10362) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10364) ~ (e3 = e1)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (160), (164), (210), (8587), (10250),
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10360), (10363), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #214.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10365) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (10242), (10328), (10339), (10346), (10365)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #669.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10366) all_56_10 = e3 & op(e2, e0) = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | ALPHA: (10366) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10367) op(e2, e0) = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10357), (10367), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | (10368) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 166.84/25.10 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | BETA: splitting (10368) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10369) all_56_11 = e3 & op(e1, e0) = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10330), (10369), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10370) all_56_15 = e3 & op(e0, e0) = e3
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (10370), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | (10371) ~ (all_34_1 = e3) & op(e1, e1) = all_34_1 &
% 166.84/25.10 | | | | | | | | | | | | | | | $i(all_34_1)
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | ALPHA: (10371) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | (10372) ~ (all_34_1 = e3)
% 166.84/25.10 | | | | | | | | | | | | | | | (10373) op(e1, e1) = all_34_1
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | REF_CLOSE: (10331), (10372), (10373), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | inconsistent by sub-proof #252.
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | (10374) ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 166.84/25.10 | | | | | | | | | | | | | | $i(all_42_1)
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | REF_CLOSE: (10248), (10374), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | inconsistent by sub-proof #668.
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | (10375) all_24_2 = e2
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | COMBINE_EQS: (322), (10375) imply:
% 166.84/25.10 | | | | | | | | | | (10376) all_14_2 = e2
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | SIMP: (10376) implies:
% 166.84/25.10 | | | | | | | | | | (10377) all_14_2 = e2
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | COMBINE_EQS: (294), (10377) imply:
% 166.84/25.10 | | | | | | | | | | (10378) all_44_2 = e2
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | REDUCE: (348), (10377) imply:
% 166.84/25.10 | | | | | | | | | | (10379) ~ (all_52_2 = e2)
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | REDUCE: (361), (10377) imply:
% 166.84/25.10 | | | | | | | | | | (10380) ~ (all_52_8 = e2)
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | REDUCE: (362), (10377) imply:
% 166.84/25.10 | | | | | | | | | | (10381) ~ (all_52_9 = e2)
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | REDUCE: (364), (10377) imply:
% 166.84/25.10 | | | | | | | | | | (10382) ~ (all_52_11 = e2)
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | REDUCE: (51), (10377) imply:
% 166.84/25.10 | | | | | | | | | | (10383) op(e1, e1) = e2
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | BETA: splitting (215) gives:
% 166.84/25.10 | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | (10384) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 166.84/25.10 | | | | | | | | | | | & op(e1, e2) = e2)
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | BETA: splitting (10384) gives:
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | (10385) all_56_6 = e2 & op(e1, e3) = e2
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | REF_CLOSE: (163), (10379), (10385), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | inconsistent by sub-proof #1095.
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | (10386) all_56_7 = e2 & op(e1, e2) = e2
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | ALPHA: (10386) implies:
% 166.84/25.10 | | | | | | | | | | | | (10387) all_56_7 = e2
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (213),
% 166.84/25.10 | | | | | | | | | | | | (214), (216), (217), (218), (219), (220), (10245),
% 166.84/25.10 | | | | | | | | | | | | (10380), (10381), (10383), (10387),
% 166.84/25.10 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.10 | | | | | | | | | | | | #662.
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | End of split
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | (10388) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 166.84/25.10 | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | BETA: splitting (10388) gives:
% 166.84/25.10 | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | (10389) all_56_8 = e2 & op(e1, e1) = e2
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | ALPHA: (10389) implies:
% 166.84/25.10 | | | | | | | | | | | | (10390) all_56_8 = e2
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | BETA: splitting (79) gives:
% 166.84/25.10 | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | (10391) ~ (all_32_2 = e2)
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | REDUCE: (329), (10391) imply:
% 166.84/25.10 | | | | | | | | | | | | | (10392) ~ (all_6_2 = e2)
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 166.84/25.10 | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | (10393) all_54_15 = e1
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | COMBINE_EQS: (246), (10393) imply:
% 166.84/25.10 | | | | | | | | | | | | | | (10394) all_6_2 = e1
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | REDUCE: (10250), (10394) imply:
% 166.84/25.10 | | | | | | | | | | | | | | (10395) $false
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | CLOSE: (10395) is inconsistent.
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | (10396) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | BETA: splitting (10396) gives:
% 166.84/25.10 | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | (10397) all_54_15 = e2
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | COMBINE_EQS: (246), (10397) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10398) all_6_2 = e2
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | REDUCE: (10392), (10398) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | (10399) $false
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | CLOSE: (10399) is inconsistent.
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | (10400) ~ (all_54_15 = e2)
% 166.84/25.10 | | | | | | | | | | | | | | | (10401) all_54_15 = e3 | all_54_15 = e0
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | BETA: splitting (10401) gives:
% 166.84/25.10 | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | (10402) all_54_15 = e3
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (10402) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10403) all_6_2 = e3
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | REDUCE: (372), (10403) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10404) $false
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | CLOSE: (10404) is inconsistent.
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | (10405) all_54_15 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (10405) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10406) all_6_2 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | REDUCE: (367), (10406) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10407) ~ (all_52_11 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | REDUCE: (370), (10406) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10408) ~ (all_52_14 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | REDUCE: (372), (10406) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10409) ~ (e3 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | REDUCE: (39), (10406) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | (10410) op(e0, e0) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | (10411) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | BETA: splitting (10411) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | (10412) all_56_6 = e0 & op(e1, e3) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10242), (10412), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | (10413) all_56_7 = e0 & op(e1, e2) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | ALPHA: (10413) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | (10414) all_56_7 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | (10415) op(e1, e2) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | (10416) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (10416) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10417) all_56_4 = e0 & op(e3, e1) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10245), (10417), (function-axioms) are
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10418) all_56_5 = e0 & op(e2, e1) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | ALPHA: (10418) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10419) all_56_5 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10420) op(e2, e1) = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (10415) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10421) all_52_6 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (10420) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10422) all_52_9 = e0
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10421) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10423) ~ (all_52_7 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | SIMP: (10423) implies:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10424) ~ (all_52_7 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10421) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10425) ~ (all_52_14 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10422) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10426) ~ (all_52_11 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (10422) imply:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | (10427) ~ (e1 = e0)
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | |
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.10 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | (10428) ~ (all_34_2 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8581), (10428) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | (10429) $false
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | CLOSE: (10429) is inconsistent.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | (10430) ( ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e1, e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | (10431) ~ (all_44_2 = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10378), (10431) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | (10432) $false
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10432) is inconsistent.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | (10433) ( ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e2, e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10433) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | (10434) ~ (all_44_0 = e0) & op(e1, e2) = all_44_0 &
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10434) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | (10435) ~ (all_44_0 = e0)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | (10436) op(e1, e2) = all_44_0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10415), (10435), (10436), (function-axioms) are
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #327.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | (10437) ~ (all_44_1 = e3) & op(e2, e2) = all_44_1 &
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10437) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | (10438) ~ (all_44_1 = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | (10439) op(e2, e2) = all_44_1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10430) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10440) ~ (all_34_0 = e0) & op(e2, e1) = all_34_0 &
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_0)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10440) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10441) ~ (all_34_0 = e0)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10442) op(e2, e1) = all_34_0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_0,
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (10420), (10442) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10443) all_34_0 = e0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10441), (10443) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10444) $false
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10444) is inconsistent.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10445) ~ (all_34_1 = e3) & op(e1, e1) = all_34_1 &
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10445) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10446) ~ (all_34_1 = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10447) op(e1, e1) = all_34_1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (10383), (10447) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10448) all_34_1 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_44_1,
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (8592), (10439) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10449) all_44_1 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10438), (10449) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10450) ~ (e3 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10446), (10448) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | (10451) ~ (e3 = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10452) all_54_2 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10452) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10453) all_52_8 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10453) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_52_8 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10454) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10455) ~ (all_52_11 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10455) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10456) ~ (all_52_11 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10380), (10454) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10457) ~ (e2 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) all_54_14 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10458) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) all_52_11 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10456), (10459) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) $false
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10460) is inconsistent.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) ~ (all_54_14 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10463) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) all_56_12 = e1 & op(e0, e3) = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10464) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) all_56_12 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10466) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) all_56_0 = e2 & op(e3, e3) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10467) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) op(e3, e3) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10248), (10468), (function-axioms) are
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) all_56_2 = e2 & op(e2, e3) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10469) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) all_56_2 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10471) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) all_56_0 = e3 & op(e3, e3) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10472) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) op(e3, e3) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (229), (10242), (10465),
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470), (10473), (function-axioms) are
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #331.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) all_56_2 = e3 & op(e2, e3) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10474) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) all_56_2 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10470), (10475) are inconsistent by
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1268.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10476) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) all_56_6 = e3 & op(e1, e3) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10477) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) op(e1, e3) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10479) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) all_56_12 = e2 & op(e0, e3) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) all_56_12 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10465), (10481) are inconsistent by
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1234.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) all_56_13 = e2 & op(e0, e2) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10482) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) all_56_13 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) op(e0, e2) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10485) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) all_56_1 = e3 & op(e3, e2) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10486) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) all_56_1 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10465), (10484), (10488),
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10489) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) all_56_14 = e3 & op(e0, e1) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10490) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) all_56_14 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10492) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) all_56_2 = e3 & op(e2, e3) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10493) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) all_56_2 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10470), (10494) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) e3 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10495) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) e3 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10491), (10496) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) all_56_14 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (217),
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (10245), (10383), (10497),
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #663.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) all_56_3 = e3 & op(e2, e2) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10498) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) op(e2, e2) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10438), (10439), (10499), (function-axioms) are
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10500) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_56_5 = e3 & op(e2, e1) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10501) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) all_56_5 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10419), (10502) are inconsistent by
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1038.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) all_56_10 = e3 & op(e2, e0) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10503) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) op(e2, e0) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10462) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) all_54_14 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10382), (10505) are inconsistent by
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1189.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) all_54_14 = e3 | all_54_14 = e0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10506) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) all_54_14 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10507) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_52_11 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10508) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) all_52_11 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10509) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) ~ (all_52_3 = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (10509) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511) ~ (all_52_7 = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10512) all_54_13 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10512) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10513) all_52_7 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8585), (10513) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10514) $false
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10514) is inconsistent.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10515) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10515) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10516) all_54_13 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10516) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10517) all_52_7 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10517) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10518) ~ (all_52_3 = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10517) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10519) ~ (all_52_4 = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10520) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (10248), (10519), (10520),
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #661.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10521) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10521) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522) all_56_4 = e2 & op(e3, e1) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10380), (10522), (function-axioms) are
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10523) all_56_9 = e2 & op(e3, e0) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10523) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524) op(e3, e0) = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10525) all_54_1 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (8583), (10525) are inconsistent by
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #824.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10526) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10526) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10527) all_54_1 = e2
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10519), (10527) are inconsistent by
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #821.
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528) ~ (all_54_1 = e2)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10529) all_54_1 = e3 | all_54_1 = e0
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10529) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10530) all_54_1 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10530) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10531) all_52_4 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10531) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10532) all_52_4 = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10532) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10533) ~ (all_52_12 = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10533) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10534) ~ (all_52_12 = e3)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (10532) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10535) op(e3, e2) = e3
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536) all_54_12 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10536) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10537) all_52_3 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10537) implies:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538) all_52_3 = e1
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10538) imply:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10539) ~ (all_52_2 = e1)
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.84/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10540) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10540) gives:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10541) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10541) gives:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10542) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10542) implies:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543) ~ (all_57_12 = e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544) op(e2, e2) = all_57_12
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545) ~ (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10546) ~ (all_57_12 = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_7 & $i(all_57_7))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10547) gives:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10548) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10383), (10415), (10438), (10439), (10446),
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10548), (function-axioms) are
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #210.
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10549) gives:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10550) implies:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10551) op(e1, e2) = e1
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10415), (10551), (function-axioms) are
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10552) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10552) gives:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10553) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10553) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10554) op(e3, e3) = e1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10248), (10554), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10555) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556) all_57_12 = e1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10557) all_57_7 = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10546), (10556), (10557) are inconsistent by
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #209.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10558) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10559) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10560) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10560) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10561) op(e3, e0) = e3
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10534), (10561), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10562) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10562) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10563) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10563) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) op(e3, e3) = e3
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (229), (10242), (10465),
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470), (10564), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #331.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10565) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) all_57_12 = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) all_57_11 = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10545), (10566), (10567) are inconsistent by
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1118.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10568) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10569) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) op(e2, e2) = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10543), (10544), (10570), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (157), (158), (159), (165), (8592),
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243), (10248), (10381), (10383), (10407),
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424), (10524), (10571), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10572) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10573) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) op(e3, e2) = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10519), (10574), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1017.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10575) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) op(e1, e1) = all_57_14
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) ~ (all_57_14 = e2) | ( ~ (all_57_4 = e1) & op(e1,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_4 & $i(all_57_4))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10578) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10383), (10415), (10438), (10439), (10446),
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10579), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #210.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10580) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10581) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) op(e1, e2) = e1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10383), (10576), (10577), (10582),
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #716.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10583) gives:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e1) & op(e2, e2) = all_57_12
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10584) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) op(e3, e3) = e1
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10248), (10585), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) = e1 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10586) implies:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) op(e2, e1) = e2
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10420), (10587), (function-axioms) are
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #224.
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.97/25.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10588) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10589) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10590) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) op(e3, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10534), (10591), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (163), (229), (8592), (10242),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465), (10470), (10592), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #207.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10593) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10594) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) op(e2, e2) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (225), (226), (10483),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487), (10535), (10595), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (157), (158), (159), (165), (8592),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243), (10248), (10381), (10383), (10407),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424), (10524), (10596), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (10243), (10510), (10539), (10597),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #325.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10598) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10599) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10600) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) op(e2, e1) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10420), (10601), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #224.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8586), (10504), (10602),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (160), (10408), (10456), (10484),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603), (function-axioms) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #206.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (163), (249), (10243), (10478), (10518),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604), (function-axioms) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) all_54_1 = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10244), (10605) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #799.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) all_54_13 = e3 | all_54_13 = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10424), (10511), (10606) are inconsistent
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #801.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) all_54_14 = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10407), (10607) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) all_56_15 = e3 & op(e0, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10608) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) op(e0, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10410), (10609), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1064.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) all_56_3 = e3 & op(e2, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10610) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) op(e2, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10438), (10439), (10611), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10612) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) all_56_7 = e3 & op(e1, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10414), (10613) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #461.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) all_56_13 = e3 & op(e0, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10614) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) op(e0, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10484), (10615), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10616) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) all_56_14 = e2 & op(e0, e1) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10617) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) all_56_14 = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (217),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (10245), (10383), (10618),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #663.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) all_56_15 = e2 & op(e0, e0) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10619) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) op(e0, e0) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (10392), (10401), (10620),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #352.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) all_56_12 = e3 & op(e0, e3) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10465), (10621) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #213.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (10379), (10465), (10622),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1058.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_56_13 = e1 & op(e0, e2) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8585), (10623), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (10410), (10456), (10624),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | #782.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | (10625) ~ (all_54_2 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | (10626) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (10625) imply:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | (10627) ~ (all_52_8 = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (8583), (10248), (10628),
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | #205.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10629) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) all_56_4 = e1 & op(e3, e1) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10630) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) op(e3, e1) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10627), (10631), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) all_56_9 = e1 & op(e3, e0) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10632) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) all_56_9 = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) op(e3, e0) = e1
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10635) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) all_56_9 = e2 & op(e3, e0) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10633), (10636) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1372.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) all_56_10 = e2 & op(e2, e0) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10637) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) op(e2, e0) = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10639) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) all_56_9 = e3 & op(e3, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10640) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) op(e3, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10634), (10641), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #221.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) all_56_10 = e3 & op(e2, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10642) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) op(e2, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10638), (10643), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10644) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) all_56_11 = e3 & op(e1, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10645) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) all_56_11 = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) op(e1, e0) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) all_54_2 = e2
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10380), (10648) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1132.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) ~ (all_54_2 = e2)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_54_2 = e3 | all_54_2 = e0
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10650) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) all_54_2 = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10651) imply:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) all_52_8 = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10652) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_52_8 = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10653) imply:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) ~ (all_52_4 = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10655) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) all_56_1 = e3 & op(e3, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10656) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) op(e3, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10654), (10657), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) all_56_3 = e3 & op(e2, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10658) implies:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) op(e2, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10438), (10439), (10659), (function-axioms) are
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10660) gives:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_56_7 = e3 & op(e1, e2) = e3
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10414), (10661) are inconsistent by
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #649.
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) all_56_13 = e3 & op(e0, e2) = e3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10662) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) all_56_13 = e3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) op(e0, e2) = e3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10665) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) all_56_1 = e2 & op(e3, e2) = e2
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10666) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) all_56_1 = e2
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10668) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10669) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10670) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) op(e2, e3) = e2
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (167), (10638), (10671),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1360.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10383), (10415), (10446), (10447), (10672),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (230), (234),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (10245), (10415), (10420), (10633),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673), (function-axioms) are inconsistent by
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10674) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (8592), (10248), (10634), (10675),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10676) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10677) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) op(e2, e2) = e2
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414), (10663), (10664), (10667), (10678),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10680) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (10381), (10681), (function-axioms)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #248.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10682) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10683) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (10243), (10664), (10684),
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1207.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10685) gives:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10686) implies:
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (10381), (10687), (function-axioms)
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #248.
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 166.97/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10688) gives:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10689) implies:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) op(e1, e0) = e1
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10647), (10690), (function-axioms) are
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10691) implies:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) (all_57_9 = e3 & op(e3, e0) = e3) | ( ~ (all_57_10
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_57_10 &
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10248), (10634), (10692), (function-axioms)
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #217.
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) all_56_3 = e2 & op(e2, e2) = e2
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10693) implies:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) op(e2, e2) = e2
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (10694), (function-axioms) are
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 167.01/25.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10695) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) all_56_7 = e2 & op(e1, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10696) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_56_7 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (213), (214), (10383),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390), (10646), (10697), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1075.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) all_56_13 = e2 & op(e0, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10698) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) op(e0, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10664), (10699), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) all_54_2 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10245), (10700) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #203.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) all_56_15 = e3 & op(e0, e0) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10701) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) op(e0, e0) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10410), (10702), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1064.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10703) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) all_56_11 = e2 & op(e1, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10704) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) all_56_11 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) op(e1, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (213), (214),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (10383), (10390), (10414), (10705),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706), (function-axioms) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #647.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) all_56_15 = e2 & op(e0, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10707) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) op(e0, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (246), (372), (10392), (10401), (10708),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #352.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | (10709) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (10709) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (10710) all_56_8 = e0 & op(e1, e1) = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (10710) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (10711) op(e1, e1) = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10383), (10711), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (10712) all_56_14 = e0 & op(e0, e1) = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | ALPHA: (10712) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (10713) op(e0, e1) = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (10407), (10713), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1206.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | (10714) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (10383), (10408), (10714),
% 167.01/25.15 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.15 | | | | | | | | | | | | | | | | | #987.
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | (10715) all_32_2 = e2
% 167.01/25.15 | | | | | | | | | | | | | (10716) ( ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 167.01/25.15 | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e2, e2)
% 167.01/25.15 | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | COMBINE_EQS: (329), (10715) imply:
% 167.01/25.15 | | | | | | | | | | | | | (10717) all_6_2 = e2
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | SIMP: (10717) implies:
% 167.01/25.15 | | | | | | | | | | | | | (10718) all_6_2 = e2
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | REDUCE: (368), (10718) imply:
% 167.01/25.15 | | | | | | | | | | | | | (10719) ~ (all_52_12 = e2)
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | REDUCE: (369), (10718) imply:
% 167.01/25.15 | | | | | | | | | | | | | (10720) ~ (all_52_13 = e2)
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | REDUCE: (372), (10718) imply:
% 167.01/25.15 | | | | | | | | | | | | | (10721) ~ (e3 = e2)
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | REDUCE: (39), (10718) imply:
% 167.01/25.15 | | | | | | | | | | | | | (10722) op(e0, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.01/25.15 | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | (10723) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.01/25.15 | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.01/25.15 | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.01/25.15 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.01/25.15 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.01/25.15 | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.01/25.15 | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | BETA: splitting (10723) gives:
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | (10724) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.01/25.15 | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.01/25.15 | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.01/25.15 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | BETA: splitting (10724) gives:
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | (10725) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.01/25.15 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 167.01/25.15 | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | ALPHA: (10725) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | (10726) op(e2, e2) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8592), (10726), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | (10727) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.01/25.15 | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.01/25.15 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.01/25.15 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10248), (10383), (10727),
% 167.01/25.15 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.15 | | | | | | | | | | | | | | | | #202.
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | (10728) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.01/25.15 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.01/25.15 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.01/25.15 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (165), (8584), (10248), (10381),
% 167.01/25.15 | | | | | | | | | | | | | | | (10728), (function-axioms) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | sub-proof #201.
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | (10729) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.01/25.15 | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.01/25.15 | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.01/25.15 | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.01/25.15 | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.15 | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.15 | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.01/25.15 | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.01/25.15 | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.01/25.15 | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.15 | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.01/25.15 | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.01/25.15 | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.01/25.15 | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.01/25.15 | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.01/25.15 | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.01/25.15 | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.15 | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.01/25.15 | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.01/25.15 | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.01/25.15 | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.15 | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.01/25.15 | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.01/25.15 | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.15 | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.01/25.15 | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.15 | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.01/25.15 | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.01/25.15 | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.01/25.15 | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | BETA: splitting (10729) gives:
% 167.01/25.15 | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | (10730) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.01/25.15 | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.01/25.15 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.15 | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.01/25.15 | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.15 | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.15 | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.15 | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.15 | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.15 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.15 | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.01/25.15 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.15 | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | BETA: splitting (10730) gives:
% 167.01/25.15 | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | (10731) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 167.01/25.15 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.15 | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.01/25.15 | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.15 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 167.01/25.15 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | ALPHA: (10731) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | (10732) op(e0, e0) = all_57_15
% 167.01/25.15 | | | | | | | | | | | | | | | | (10733) op(e3, e0) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | (10734) (all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.15 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | | | $i(all_57_12))
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | (10735) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | (10736) all_56_1 = e2 & op(e3, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | ALPHA: (10736) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | (10737) op(e3, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | BETA: splitting (10734) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | (10738) all_57_11 = e2 & op(e2, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | ALPHA: (10738) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | (10739) op(e2, e0) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10720), (10739), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | (10740) ~ (all_57_12 = e0) & op(e2, e2) = all_57_12 &
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | $i(all_57_12)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | ALPHA: (10740) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | (10741) op(e2, e2) = all_57_12
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (10742) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10742) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10743) all_56_0 = e2 & op(e3, e3) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10743) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10744) op(e3, e3) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10248), (10744), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10745) all_56_2 = e2 & op(e2, e3) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10745) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10746) op(e2, e3) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (10722),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10732) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10747) all_57_15 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (8592),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10741) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10748) all_57_12 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (10746) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10749) all_52_1 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (10733) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10750) all_52_12 = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10737) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10751) all_52_4 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10749) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10752) ~ (all_52_13 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10751) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10753) ~ (all_52_8 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10750) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10754) ~ (all_52_8 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10750) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10755) ~ (all_52_13 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (10755) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | (10756) ~ (all_52_13 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10757) all_54_2 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10757) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10758) all_52_8 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10758) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10759) all_52_8 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10759) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10760) ~ (all_52_11 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10760) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10761) ~ (all_52_11 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10754), (10759) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10762) ~ (e3 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10380), (10759) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10763) ~ (e2 = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | (10764) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10764) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_56_12 = e1 & op(e0, e3) = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_56_12 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_54_7 = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8587), (10767) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | (10768) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10716) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) ~ (all_32_0 = e3) & op(e0, e2) = all_32_0 &
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10769) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) ~ (all_32_0 = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) op(e0, e2) = all_32_0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10768) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) all_54_7 = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10720), (10772) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) ~ (all_54_7 = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_54_7 = e3 | all_54_7 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10774) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) all_54_7 = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10756), (10775) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #814.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) all_54_7 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10776) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_52_13 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10777) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) all_52_13 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10778) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) ~ (all_52_9 = e0)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10756), (10778) imply:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) ~ (e3 = e0)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10781) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) all_56_12 = e3 & op(e0, e3) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10766), (10782) are inconsistent by
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #213.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) all_56_13 = e3 & op(e0, e2) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10783) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) op(e0, e2) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10770), (10771), (10784), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1261.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10785) gives:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_56_14 = e3 & op(e0, e1) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10786) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) all_56_14 = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (169), (217), (10245), (10383),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779), (10787), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #920.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) all_56_15 = e3 & op(e0, e0) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10788) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789) op(e0, e0) = e3
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10722), (10789), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (10790) ~ (all_32_1 = e1) & op(e2, e2) = all_32_1 &
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8592), (10790), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #278.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | (10791) all_56_13 = e1 & op(e0, e2) = e1
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8585), (10791), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | (10792) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (10722), (10761), (10792),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | | #200.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | (10793) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (10245), (10380), (10754), (10793) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (10794) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (206), (207),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (209), (10379), (10722), (10794),
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | | #273.
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | (10795) all_56_3 = e2 & op(e2, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | ALPHA: (10795) implies:
% 167.01/25.15 | | | | | | | | | | | | | | | | | | (10796) op(e2, e2) = e2
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (10796), (function-axioms) are
% 167.01/25.15 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 167.01/25.15 | | | | | | | | | | | | | | | | | |
% 167.01/25.15 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | (10797) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | BETA: splitting (10797) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10798) all_56_7 = e2 & op(e1, e2) = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | ALPHA: (10798) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10799) all_56_7 = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (213),
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (214), (216), (217), (218), (219), (220), (10245),
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10380), (10381), (10383), (10799),
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.16 | | | | | | | | | | | | | | | | | | #662.
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10800) all_56_13 = e2 & op(e0, e2) = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | ALPHA: (10800) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10801) all_56_13 = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10802) op(e0, e2) = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10803) all_56_15 = e0 & op(e0, e0) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ALPHA: (10803) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10804) op(e0, e0) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10722), (10804), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10805) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ALPHA: (10805) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10806) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e1) = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (10806) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10807) all_56_12 = e0 & op(e0, e3) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (10807) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10808) op(e0, e3) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10243), (10808), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10809) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10809) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | (10810) all_56_13 = e0 & op(e0, e2) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10810) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | (10811) op(e0, e2) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10802), (10811), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | (10812) all_56_14 = e0 & op(e0, e1) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10812) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | (10813) all_56_14 = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | (10814) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10814) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10815) all_56_12 = e3 & op(e0, e3) = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10815) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10816) all_56_12 = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | (10817) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10817) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | | (10818) all_56_12 = e1 & op(e0, e3) = e1
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10816), (10818) are inconsistent by
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1385.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | | (10819) all_56_13 = e1 & op(e0, e2) = e1
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8585), (10819), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | (10820) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (10722), (10813), (10820),
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | | #1213.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10821) all_56_13 = e3 & op(e0, e2) = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10821) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10822) op(e0, e2) = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10802), (10822), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | (10823) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10823) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10824) all_56_14 = e3 & op(e0, e1) = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10824) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10825) all_56_14 = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (158), (207), (8585),
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10722), (10801), (10806), (10825),
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | #271.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10826) all_56_15 = e3 & op(e0, e0) = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10826) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | (10827) op(e0, e0) = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10722), (10827), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | (10828) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.01/25.16 | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.01/25.16 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8592), (10248), (10828),
% 167.01/25.16 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.16 | | | | | | | | | | | | | | | | #220.
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | (10829) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.01/25.16 | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.01/25.16 | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.01/25.16 | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.01/25.16 | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.16 | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.01/25.16 | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.01/25.16 | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.01/25.16 | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.01/25.16 | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.16 | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.01/25.16 | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.01/25.16 | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.16 | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.01/25.16 | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.01/25.16 | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.16 | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.01/25.16 | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | BETA: splitting (10829) gives:
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | (10830) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 167.01/25.16 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 167.01/25.16 | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | ALPHA: (10830) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | (10831) op(e2, e2) = e2
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (10831), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | (10832) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.01/25.16 | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.01/25.16 | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.01/25.16 | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.01/25.16 | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.01/25.16 | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.01/25.16 | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.16 | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.01/25.16 | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.16 | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.01/25.16 | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.01/25.16 | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | BETA: splitting (10832) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | (10833) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 167.01/25.16 | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | ALPHA: (10833) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | (10834) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 167.01/25.16 | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | $i(all_57_12))
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (10381), (10834), (function-axioms)
% 167.01/25.16 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #248.
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | (10835) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 167.01/25.16 | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 167.01/25.16 | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.01/25.16 | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 167.01/25.16 | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | ALPHA: (10835) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | (10836) op(e0, e0) = all_57_15
% 167.01/25.16 | | | | | | | | | | | | | | | | | (10837) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 167.01/25.16 | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 167.01/25.16 | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | BETA: splitting (10837) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10838) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | BETA: splitting (10838) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10839) all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1, e3)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ALPHA: (10839) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10840) op(e0, e3) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10243), (10840), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10841) all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1, e2)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14)))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ALPHA: (10841) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10842) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8584), (10383), (10842), (function-axioms)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #199.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (10843) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | BETA: splitting (10843) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10844) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ALPHA: (10844) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10845) (all_57_7 = e2 & op(e2, e1) = e2) | ( ~ (all_57_12
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | $i(all_57_12))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8592), (10381), (10845), (function-axioms)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #248.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (10846) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (10846) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10847) all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12)))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (10847) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10848) op(e1, e1) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10383), (10848), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10849) all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 = e2
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | ALPHA: (10849) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10850) all_57_15 = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (10836), (10850) imply:
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | (10851) op(e0, e0) = e0
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10722), (10851), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | (10852) all_56_11 = e2 & op(e1, e0) = e2
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | ALPHA: (10852) implies:
% 167.01/25.16 | | | | | | | | | | | | (10853) all_56_11 = e2
% 167.01/25.16 | | | | | | | | | | | | (10854) op(e1, e0) = e2
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (165),
% 167.01/25.16 | | | | | | | | | | | | (169), (213), (214), (216), (217), (218), (219),
% 167.01/25.16 | | | | | | | | | | | | (220), (10242), (10245), (10380), (10381),
% 167.01/25.16 | | | | | | | | | | | | (10383), (10853), (10854), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | | inconsistent by sub-proof #645.
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | (10855) all_22_2 = e1
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | COMBINE_EQS: (310), (10855) imply:
% 167.01/25.16 | | | | | | | | | (10856) all_6_2 = e1
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | SIMP: (10856) implies:
% 167.01/25.16 | | | | | | | | | (10857) all_6_2 = e1
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | COMBINE_EQS: (296), (10857) imply:
% 167.01/25.16 | | | | | | | | | (10858) all_38_2 = e1
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | REDUCE: (349), (10857) imply:
% 167.01/25.16 | | | | | | | | | (10859) ~ (all_52_3 = e1)
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | REDUCE: (368), (10857) imply:
% 167.01/25.16 | | | | | | | | | (10860) ~ (all_52_12 = e1)
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | REDUCE: (39), (10857) imply:
% 167.01/25.16 | | | | | | | | | (10861) op(e0, e0) = e1
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | BETA: splitting (231) gives:
% 167.01/25.16 | | | | | | | | |
% 167.01/25.16 | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | (10862) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 167.01/25.16 | | | | | | | | | | & op(e2, e3) = e1)
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | BETA: splitting (10862) gives:
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | (10863) all_56_0 = e1 & op(e3, e3) = e1
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | ALPHA: (10863) implies:
% 167.01/25.16 | | | | | | | | | | | (10864) op(e3, e3) = e1
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | REF_CLOSE: (4), (10248), (10864), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | inconsistent by sub-proof #1184.
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | (10865) all_56_2 = e1 & op(e2, e3) = e1
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | REF_CLOSE: (167), (8582), (10865), (function-axioms) are
% 167.01/25.16 | | | | | | | | | | | inconsistent by sub-proof #732.
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | End of split
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | (10866) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 167.01/25.16 | | | | | | | | | | e1 & op(e0, e3) = e1)
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | BETA: splitting (10866) gives:
% 167.01/25.16 | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | (10867) all_56_6 = e1 & op(e1, e3) = e1
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | ALPHA: (10867) implies:
% 167.01/25.16 | | | | | | | | | | | (10868) all_56_6 = e1
% 167.01/25.16 | | | | | | | | | | | (10869) op(e1, e3) = e1
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | BETA: splitting (103) gives:
% 167.01/25.16 | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | (10870) ~ (all_48_2 = e0)
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | REDUCE: (10240), (10870) imply:
% 167.01/25.16 | | | | | | | | | | | | (10871) $false
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | CLOSE: (10871) is inconsistent.
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | (10872) ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 167.01/25.16 | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0)
% 167.01/25.16 | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | BETA: splitting (10872) gives:
% 167.01/25.16 | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | (10873) ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 167.01/25.16 | | | | | | | | | | | | | $i(all_48_0)
% 167.01/25.16 | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | ALPHA: (10873) implies:
% 167.01/25.16 | | | | | | | | | | | | | (10874) ~ (all_48_0 = e2)
% 167.01/25.16 | | | | | | | | | | | | | (10875) op(e3, e0) = all_48_0
% 167.01/25.16 | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | BETA: splitting (232) gives:
% 167.01/25.16 | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | (10876) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 167.01/25.16 | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (8583), (10248), (10876),
% 167.01/25.16 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.16 | | | | | | | | | | | | | | #205.
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | Case 2:
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | (10877) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 167.01/25.16 | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 167.01/25.16 | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | Case 1:
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | (10878) all_56_4 = e1 & op(e3, e1) = e1
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 167.01/25.16 | | | | | | | | | | | | | | | (10879) op(e3, e1) = e1
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 167.01/25.16 | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (10869) gives:
% 167.01/25.16 | | | | | | | | | | | | | | | (10880) all_52_2 = e1
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.16 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 167.01/25.16 | | | | | | | | | | | | | | | all_48_0, e0, e3, simplifying with (168), (10875)
% 167.01/25.16 | | | | | | | | | | | | | | | gives:
% 167.01/25.16 | | | | | | | | | | | | | | | (10881) all_52_12 = all_48_0
% 167.01/25.16 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 167.01/25.17 | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (10879) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | (10882) all_52_8 = e1
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10881) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10883) all_54_3 = all_48_0
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (144), (10880) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10884) ~ (all_52_3 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (143), (10880) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10885) ~ (all_52_6 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (141), (10880) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10886) ~ (all_52_14 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | SIMP: (10886) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | (10887) ~ (all_52_14 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (133), (10881) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10888) ~ (all_52_4 = all_48_0)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (123), (10882) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10889) ~ (all_52_9 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (121), (10882) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10890) ~ (all_52_11 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | SIMP: (10890) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | (10891) ~ (all_52_11 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (361), (10882) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10892) ~ (all_14_2 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | SIMP: (10892) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | (10893) ~ (all_14_2 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (112), (10881) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10894) ~ (all_52_14 = all_48_0)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | SIMP: (10894) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | (10895) ~ (all_52_14 = all_48_0)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (10860), (10881) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10896) ~ (all_48_0 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | REDUCE: (10246), (10881) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | (10897) ~ (all_48_0 = e0)
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 167.01/25.17 | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | (10898) all_54_3 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (10883), (10898) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | (10899) all_48_0 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | REDUCE: (10896), (10899) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | (10900) $false
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | CLOSE: (10900) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | (10901) ~ (all_54_3 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | | | (10902) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | BETA: splitting (10902) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | (10903) all_54_3 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | COMBINE_EQS: (10883), (10903) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | (10904) all_48_0 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | REDUCE: (10874), (10904) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | (10905) $false
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | CLOSE: (10905) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | (10906) ~ (all_54_3 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | (10907) all_54_3 = e3 | all_54_3 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | (10908) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | BETA: splitting (10908) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | (10909) all_56_0 = e2 & op(e3, e3) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | ALPHA: (10909) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | (10910) op(e3, e3) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10248), (10910), (function-axioms) are
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | (10911) all_56_1 = e2 & op(e3, e2) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | ALPHA: (10911) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | (10912) all_56_1 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (10907) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | (10913) all_54_3 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10883), (10913) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | (10914) all_48_0 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | SIMP: (10914) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | (10915) all_48_0 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (10888), (10915) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | (10916) ~ (all_52_4 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (10895), (10915) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | (10917) ~ (all_52_14 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (10875), (10915) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | (10918) op(e3, e0) = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | (10919) all_54_1 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10919) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | (10920) all_52_4 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8583), (10920) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | (10921) $false
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | CLOSE: (10921) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | (10922) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10922) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10923) all_54_1 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10923) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10924) all_52_4 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10924) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10925) ~ (all_52_6 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10925) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10926) ~ (all_52_6 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10924) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10927) ~ (all_52_7 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10927) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10928) ~ (all_52_7 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10916), (10924) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10929) ~ (e3 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (10924) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | (10930) op(e3, e2) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | (10931) ~ (all_24_2 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (10931) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | (10932) ~ (all_14_2 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | (10933) all_54_10 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (10893), (10933) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | (10934) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10934) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | (10935) all_54_10 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (10932), (10935) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1308.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | (10936) all_54_10 = e3 | all_54_10 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10936) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (10937) all_54_10 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (10937) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (10938) all_14_2 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10938) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (10939) all_14_2 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (10939) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (10940) all_42_2 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (10939) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (10941) ~ (all_52_6 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (10939) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (10942) op(e1, e1) = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10943) ~ (all_42_2 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10940), (10943) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10944) $false
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10944) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10945) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10946) all_54_9 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10946) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10947) all_52_6 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8584), (10947) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10948) $false
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10948) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10949) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10949) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_54_9 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10950) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10951) all_52_6 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10926), (10951) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10952) $false
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10952) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10953) all_54_9 = e3 | all_54_9 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10953) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10954) all_54_9 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10954) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10955) all_52_6 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10941), (10955) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10956) $false
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10956) is inconsistent.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957) all_54_9 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (10957) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10958) all_52_6 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10958) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10959) ~ (all_52_7 = e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10959) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10960) ~ (all_52_7 = e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10958) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961) ~ (all_52_14 = e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10961) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10962) ~ (all_52_14 = e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10945) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10963) ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10963) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10964) op(e1, e3) = all_42_0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10965) all_54_13 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (8585), (10965) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1011.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966) ~ (all_54_13 = e1)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10967) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10967) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10968) all_54_13 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10928), (10968) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1006.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10969) all_54_13 = e3 | all_54_13 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10969) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10970) all_54_13 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10970) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) all_52_7 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10971) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) all_52_7 = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10972) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) ~ (all_52_3 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (10972) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) op(e0, e2) = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) all_54_12 = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (10859), (10975) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #808.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10976) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) all_54_12 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10977) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) all_52_3 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10978) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10979) all_52_3 = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10979) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) ~ (all_52_1 = e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10979) imply:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) op(e0, e3) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10982) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10982) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10983) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10983) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10984) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10984) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10985) op(e3, e2) = e3
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (170), (270), (10246), (10907), (10985),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #198.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10986) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (10869), (10964), (10980), (10986),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10987) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10988) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) op(e3, e3) = all_57_10
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_9 & $i(all_57_9))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10248), (10918), (10989), (10990),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (10243), (10981), (10991),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10992) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10993) gives:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10994) implies:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) op(e1, e1) = all_57_14
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) ~ (all_57_14 = e3) | ( ~ (all_57_1 = e1) & op(e1,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_1 & $i(all_57_1))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10869), (10942), (10995), (10996),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #635.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10997) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8586), (10974), (10997),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (160), (10891), (10962), (10974),
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998), (function-axioms) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10999) all_54_12 = e3 | all_54_12 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (10243), (10973), (10999) are inconsistent
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #721.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) all_54_13 = e0
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10960), (11000) are inconsistent by
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1005.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10248), (11001), (function-axioms) are
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #668.
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) all_54_10 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (334), (8593), (11002) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1307.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11003) all_24_2 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (11003) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11004) all_14_2 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11004) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11005) all_14_2 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (11005) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11006) ~ (all_52_14 = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (11005) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11007) op(e1, e1) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | (11008) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11008) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11009) all_56_9 = e2 & op(e3, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11009) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11010) op(e3, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10918), (11010), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11011) all_56_10 = e2 & op(e2, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11011) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11012) op(e2, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) ~ (all_38_2 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10858), (11013) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) $false
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11014) is inconsistent.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) ( ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e1, e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) all_54_11 = e1
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10887), (11016) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) ~ (all_54_11 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11018) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) all_54_11 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11006), (11019) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) ~ (all_54_11 = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) all_54_11 = e3 | all_54_11 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11021) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) all_54_11 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (10917), (11022) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1117.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) all_54_11 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11023) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) all_52_14 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11024) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) all_52_14 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11025) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) ~ (all_52_6 = e0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10917), (11025) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) ~ (e3 = e0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10887), (11025) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11028) ~ (e1 = e0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11015) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11029) ~ (all_38_0 = e3) & op(e0, e1) = all_38_0 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11029) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11030) ~ (all_38_0 = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11031) op(e0, e1) = all_38_0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8592), (10930), (11032),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #240.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11033) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11033) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034) all_56_7 = e0 & op(e1, e2) = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11026), (11034), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) all_56_13 = e0 & op(e0, e2) = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11035) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) op(e0, e2) = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (145), (164), (167), (10248), (11012),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037), (function-axioms) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11038) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) all_56_6 = e2 & op(e1, e3) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11039) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) op(e1, e3) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10869), (11040), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1260.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) all_56_12 = e2 & op(e0, e3) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11041) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) op(e0, e3) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) all_56_1 = e3 & op(e3, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11044) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) op(e3, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (170), (270), (10246), (10907), (11045),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #198.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) all_56_3 = e3 & op(e2, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11046) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) op(e2, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8592), (11047), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #288.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11048) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) all_56_7 = e3 & op(e1, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11049) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) all_56_7 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11051) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) all_56_12 = e3 & op(e0, e3) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11052) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) op(e0, e3) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11042), (11053), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #637.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) all_56_13 = e3 & op(e0, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11054) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) all_56_13 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (8592), (10912), (11050),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055), (function-axioms) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1087.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10861), (11030), (11031), (11056),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #266.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) all_56_13 = e3 & op(e0, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11057) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) op(e0, e2) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11036), (11058), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) ~ (all_38_1 = e2) & op(e1, e1) = all_38_1 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11059) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) ~ (all_38_1 = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) op(e1, e1) = all_38_1
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11007), (11060), (11061), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #915.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | (11062) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11062) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11063) all_56_11 = e2 & op(e1, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11063) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11064) all_56_11 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (10868),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (10869), (11007), (11064), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #196.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11065) all_56_15 = e2 & op(e0, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11065) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | (11066) op(e0, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10861), (11066), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1352.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (11067) all_54_1 = e3 | all_54_1 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (10244), (10916), (11067) are inconsistent
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1312.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11068) all_54_3 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10883), (11068) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11069) all_48_0 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | SIMP: (11069) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11070) all_48_0 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (10897), (11070) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11071) $false
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | CLOSE: (11071) is inconsistent.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11072) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | BETA: splitting (11072) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | (11073) all_56_4 = e2 & op(e3, e1) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | ALPHA: (11073) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | (11074) op(e3, e1) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10879), (11074), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1223.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | (11075) all_56_9 = e2 & op(e3, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | ALPHA: (11075) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | (11076) op(e3, e0) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10874), (10875), (11076), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | (11077) all_56_9 = e1 & op(e3, e0) = e1
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | REF_CLOSE: (168), (10860), (11077), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | (11078) ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 167.01/25.18 | | | | | | | | | | | | | $i(all_48_1)
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | ALPHA: (11078) implies:
% 167.01/25.18 | | | | | | | | | | | | | (11079) ~ (all_48_1 = e1)
% 167.01/25.18 | | | | | | | | | | | | | (11080) op(e0, e0) = all_48_1
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | REF_CLOSE: (10861), (11079), (11080), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | (11081) all_56_12 = e1 & op(e0, e3) = e1
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | REF_CLOSE: (159), (10859), (11081), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | inconsistent by sub-proof #974.
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | End of split
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | End of split
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | Case 2:
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | (11082) all_14_2 = e0
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | COMBINE_EQS: (323), (11082) imply:
% 167.01/25.18 | | | | | | | (11083) all_16_2 = e0
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (348), (11082) imply:
% 167.01/25.18 | | | | | | | (11084) ~ (all_52_2 = e0)
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (359), (11082) imply:
% 167.01/25.18 | | | | | | | (11085) ~ (all_52_6 = e0)
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (361), (11082) imply:
% 167.01/25.18 | | | | | | | (11086) ~ (all_52_8 = e0)
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (362), (11082) imply:
% 167.01/25.18 | | | | | | | (11087) ~ (all_52_9 = e0)
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (364), (11082) imply:
% 167.01/25.18 | | | | | | | (11088) ~ (all_52_11 = e0)
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (366), (11082) imply:
% 167.01/25.18 | | | | | | | (11089) ~ (all_52_14 = e0)
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | REDUCE: (51), (11082) imply:
% 167.01/25.18 | | | | | | | (11090) op(e1, e1) = e0
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | BETA: splitting (8580) gives:
% 167.01/25.18 | | | | | | |
% 167.01/25.18 | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | (11091) ~ (all_10_0 = e3) & op(e2, e1) = all_10_0 &
% 167.01/25.18 | | | | | | | | $i(all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | ALPHA: (11091) implies:
% 167.01/25.18 | | | | | | | | (11092) ~ (all_10_0 = e3)
% 167.01/25.18 | | | | | | | | (11093) op(e2, e1) = all_10_0
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 167.01/25.18 | | | | | | | | all_10_0, e1, e2, simplifying with (165), (11093)
% 167.01/25.18 | | | | | | | | gives:
% 167.01/25.18 | | | | | | | | (11094) all_52_9 = all_10_0
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | COMBINE_EQS: (261), (11094) imply:
% 167.01/25.18 | | | | | | | | (11095) all_54_6 = all_10_0
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | REDUCE: (146), (11094) imply:
% 167.01/25.18 | | | | | | | | (11096) ~ (all_52_1 = all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | REDUCE: (123), (11094) imply:
% 167.01/25.18 | | | | | | | | (11097) ~ (all_52_8 = all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | REDUCE: (118), (11094) imply:
% 167.01/25.18 | | | | | | | | (11098) ~ (all_52_11 = all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | SIMP: (11098) implies:
% 167.01/25.18 | | | | | | | | (11099) ~ (all_52_11 = all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | REDUCE: (117), (11094) imply:
% 167.01/25.18 | | | | | | | | (11100) ~ (all_52_13 = all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | SIMP: (11100) implies:
% 167.01/25.18 | | | | | | | | (11101) ~ (all_52_13 = all_10_0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | REDUCE: (8586), (11094) imply:
% 167.01/25.18 | | | | | | | | (11102) ~ (all_10_0 = e1)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | REDUCE: (11087), (11094) imply:
% 167.01/25.18 | | | | | | | | (11103) ~ (all_10_0 = e0)
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | BETA: splitting (198) gives:
% 167.01/25.18 | | | | | | | |
% 167.01/25.18 | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | (11104) all_54_6 = e1
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | COMBINE_EQS: (11095), (11104) imply:
% 167.01/25.18 | | | | | | | | | (11105) all_10_0 = e1
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | REDUCE: (11102), (11105) imply:
% 167.01/25.18 | | | | | | | | | (11106) $false
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | CLOSE: (11106) is inconsistent.
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | (11107) ~ (all_54_6 = e1)
% 167.01/25.18 | | | | | | | | | (11108) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e0
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | BETA: splitting (11108) gives:
% 167.01/25.18 | | | | | | | | |
% 167.01/25.18 | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | (11109) all_54_6 = e2
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | COMBINE_EQS: (11095), (11109) imply:
% 167.01/25.18 | | | | | | | | | | (11110) all_10_0 = e2
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | REDUCE: (11096), (11110) imply:
% 167.01/25.18 | | | | | | | | | | (11111) ~ (all_52_1 = e2)
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | REDUCE: (11097), (11110) imply:
% 167.01/25.18 | | | | | | | | | | (11112) ~ (all_52_8 = e2)
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | REDUCE: (11099), (11110) imply:
% 167.01/25.18 | | | | | | | | | | (11113) ~ (all_52_11 = e2)
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | REDUCE: (11101), (11110) imply:
% 167.01/25.18 | | | | | | | | | | (11114) ~ (all_52_13 = e2)
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | BETA: splitting (223) gives:
% 167.01/25.18 | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | (11115) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 167.01/25.18 | | | | | | | | | | | & op(e2, e2) = e2)
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | REF_CLOSE: (6), (167), (8592), (11111), (11115),
% 167.01/25.18 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.18 | | | | | | | | | | | #261.
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | (11116) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 167.01/25.18 | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | BETA: splitting (11116) gives:
% 167.01/25.18 | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | (11117) all_56_5 = e2 & op(e2, e1) = e2
% 167.01/25.18 | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | ALPHA: (11117) implies:
% 167.01/25.18 | | | | | | | | | | | | (11118) all_56_5 = e2
% 167.01/25.18 | | | | | | | | | | | | (11119) op(e2, e1) = e2
% 167.01/25.18 | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | BETA: splitting (55) gives:
% 167.01/25.18 | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | (11120) ~ (all_16_2 = e0)
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | REDUCE: (11083), (11120) imply:
% 167.01/25.18 | | | | | | | | | | | | | (11121) $false
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | CLOSE: (11121) is inconsistent.
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | (11122) ( ~ (all_16_0 = e3) & op(e1, e0) = all_16_0 &
% 167.01/25.18 | | | | | | | | | | | | | $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e0, e0)
% 167.01/25.18 | | | | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 167.01/25.18 | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | (11123) ~ (all_18_2 = e0)
% 167.01/25.18 | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | REDUCE: (327), (11123) imply:
% 167.01/25.18 | | | | | | | | | | | | | | (11124) ~ (all_4_2 = e0)
% 167.01/25.18 | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 167.01/25.18 | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | (11125) ~ (all_20_2 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | REDUCE: (300), (11125) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | (11126) ~ (all_4_2 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 167.01/25.18 | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | (11127) all_54_0 = e1
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11127) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | (11128) all_4_2 = e1
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | REDUCE: (11126), (11128) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | (11129) $false
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | CLOSE: (11129) is inconsistent.
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | (11130) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | BETA: splitting (11130) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | (11131) all_54_0 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11131) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | (11132) all_4_2 = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | REDUCE: (371), (11132) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | (11133) $false
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | CLOSE: (11133) is inconsistent.
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | (11134) ~ (all_54_0 = e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | (11135) all_54_0 = e3 | all_54_0 = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | BETA: splitting (11135) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11136) all_54_0 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11136) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11137) all_4_2 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | REDUCE: (338), (11137) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11138) ~ (all_52_2 = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | REDUCE: (340), (11137) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11139) ~ (all_52_3 = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | REDUCE: (342), (11137) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11140) ~ (all_52_4 = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | REDUCE: (344), (11137) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11141) ~ (all_52_8 = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | REDUCE: (36), (11137) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | (11142) op(e3, e3) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | (11143) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (11143) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11144) all_56_4 = e3 & op(e3, e1) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (11144) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11145) op(e3, e1) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11141), (11145), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11146) all_56_5 = e3 & op(e2, e1) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (11146) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11147) all_56_5 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11118), (11147) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | sub-proof #619.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | (11148) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (11148) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11149) all_56_8 = e3 & op(e1, e1) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (11149) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11150) op(e1, e1) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11090), (11150), (function-axioms) are
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11151) all_56_14 = e3 & op(e0, e1) = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (11151) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | (11152) all_56_14 = e3
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11153) all_54_2 = e1
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11153) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11154) all_52_8 = e1
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (11154) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11155) all_52_8 = e1
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11155) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11156) ~ (all_52_11 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (11156) implies:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11157) ~ (all_52_11 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11141), (11155) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11158) ~ (e3 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11112), (11155) imply:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | (11159) ~ (e2 = e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (11160) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11160) gives:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11161) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (170), (11111), (11138), (11140),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11161), (function-axioms) are inconsistent by
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (11162) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11139), (11142), (11162),
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | | #194.
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.18 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (11163) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11163) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (11164) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11164) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11165) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11165) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11166) op(e1, e2) = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (165),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (208), (221), (223), (224), (228),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (8591),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (8592), (11084), (11087), (11118), (11142),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11152), (11166), (function-axioms) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #191.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11167) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (164), (8584), (11114), (11167),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | #1405.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (11168) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11168) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11169) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11169) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11170) op(e2, e0) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | (11171) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11171) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) all_56_2 = e3 & op(e2, e3) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11172) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) all_56_2 = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (11084), (11142), (11173),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | #621.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) all_56_3 = e3 & op(e2, e2) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8591), (11174) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | #944.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | (11175) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11175) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) all_56_5 = e3 & op(e2, e1) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11118), (11176) are inconsistent by
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #529.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) all_56_10 = e3 & op(e2, e0) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11177) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) op(e2, e0) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11170), (11178), (function-axioms) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11179) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (11089), (11157), (11179),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | #900.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | (11180) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11086), (11112), (11141), (11180) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11181) all_54_0 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11181) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11182) all_4_2 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | REDUCE: (11124), (11182) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11183) $false
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | CLOSE: (11183) is inconsistent.
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | (11184) all_20_2 = e1
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | COMBINE_EQS: (300), (11184) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | (11185) all_4_2 = e1
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | COMBINE_EQS: (328), (11185) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | (11186) all_30_2 = e1
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | REDUCE: (338), (11185) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | (11187) ~ (all_52_2 = e1)
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | REDUCE: (344), (11185) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | (11188) ~ (all_52_8 = e1)
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 167.01/25.19 | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | (11189) ~ (all_30_2 = e1)
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | REDUCE: (11186), (11189) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | (11190) $false
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | CLOSE: (11190) is inconsistent.
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | (11191) ( ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e1, e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | (11192) all_54_2 = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11192) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | (11193) all_52_8 = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | REDUCE: (11188), (11193) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | (11194) $false
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | CLOSE: (11194) is inconsistent.
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | (11195) ~ (all_54_2 = e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | | (11196) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | BETA: splitting (11196) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11197) all_54_2 = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11197) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11198) all_52_8 = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | REDUCE: (11112), (11198) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11199) $false
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | CLOSE: (11199) is inconsistent.
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | (11200) all_54_2 = e3 | all_54_2 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | BETA: splitting (11200) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | (11201) all_54_2 = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11201) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | (11202) all_52_8 = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11202) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | (11203) ~ (all_52_4 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11202) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | (11204) ~ (all_52_12 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | SIMP: (11204) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | (11205) ~ (all_52_12 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | REDUCE: (169), (11202) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | (11206) op(e3, e1) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (11191) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | (11207) ~ (all_30_0 = e2) & op(e3, e1) = all_30_0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | ALPHA: (11207) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | (11208) ~ (all_30_0 = e2)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | (11209) op(e3, e1) = all_30_0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | (11210) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (8584), (11187), (11210),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | #889.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | (11211) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11211) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (11212) all_56_8 = e1 & op(e1, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11212) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (11213) op(e1, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11090), (11213), (function-axioms) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (11214) all_56_11 = e1 & op(e1, e0) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11214) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | (11215) op(e1, e0) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | (11216) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11216) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11217) all_56_9 = e3 & op(e3, e0) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11217) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11218) op(e3, e0) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11205), (11218), (function-axioms) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_56_10 = e3 & op(e2, e0) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11219) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | (11220) op(e2, e0) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | (11221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11221) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_56_2 = e0 & op(e2, e3) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11222) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) op(e2, e3) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (11215) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) all_52_14 = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (11220) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) all_52_13 = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (11223) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) all_52_1 = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_0,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (11206), (11209) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) all_30_0 = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (11226) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) ~ (all_52_3 = e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11228) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) ~ (all_52_3 = e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11225), (11226) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) ~ (e3 = e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (11225) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) ~ (all_6_2 = e3)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11224) imply:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) ~ (all_6_2 = e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11232) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) ~ (all_6_2 = e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11234) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11235) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11236) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) op(e3, e2) = e3
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11203), (11237), (function-axioms) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11238) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & $i(all_57_10) & ( ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e2) | (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e2) & op(e2, e2) = all_57_10))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11239) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) op(e2, e3) = e2
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11111), (11240), (function-axioms) are
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_57_1 = e3 & all_57_6 = e3 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e1) = e3 & op(e1, e3) = e3 & op(e1,
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11241) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) op(e1, e1) = all_57_14
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11090), (11215), (11242), (11243),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #190.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11244) gives:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11245) implies:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) op(e3, e1) = e1
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11188), (11209), (11246),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #418.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (11205), (11229), (11247),
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1277.
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11248) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11249) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11250) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) op(e1, e1) = all_57_14
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) ~ (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11090), (11215), (11251), (11252),
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #190.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (126), (160), (162), (193), (250), (11215),
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220), (11253), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11254) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11255) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) op(e2, e0) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11220), (11256), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11257) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 & op(e0,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_2 = e0) & op(e0, e3) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_2 & $i(all_57_2))) & ( ~ (all_57_15 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5)))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11258) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) ~ (all_57_15 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) op(e0, e0) = all_57_15
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) ~ (all_57_15 = e2) | ( ~ (all_57_5 = e0) & op(e0,
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_5 & $i(all_57_5))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (159), (189), (206), (246), (372),
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088), (11229), (11233), (11259), (11260),
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261), (function-axioms) are inconsistent by
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #277.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ( ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_4 = e1) & op(e1, e2) =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_4 & $i(all_57_4))) & ( ~ (e1 = e0) | (
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_14 = e0) & op(e0, e0) = all_57_14))
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11262) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) op(e1, e0) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11089), (11263), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1272.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) all_56_3 = e0 & op(e2, e2) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11264) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) op(e2, e2) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8592), (11265), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | (11266) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (165), (11087), (11220), (11266),
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | #192.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | (11267) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11267) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | (11268) all_56_11 = e3 & op(e1, e0) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11268) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | (11269) op(e1, e0) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11215), (11269), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #379.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | (11270) all_56_15 = e3 & op(e0, e0) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (11270), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11271) ~ (all_30_1 = e0) & op(e1, e1) = all_30_1 &
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | ALPHA: (11271) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11272) ~ (all_30_1 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11273) op(e1, e1) = all_30_1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11090), (11272), (11273), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #833.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11274) all_54_2 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11274) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11275) all_52_8 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | REDUCE: (11086), (11275) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11276) $false
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | CLOSE: (11276) is inconsistent.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | (11277) all_18_2 = e0
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | COMBINE_EQS: (327), (11277) imply:
% 167.01/25.20 | | | | | | | | | | | | | | (11278) all_4_2 = e0
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | REDUCE: (336), (11278) imply:
% 167.01/25.20 | | | | | | | | | | | | | | (11279) ~ (all_52_1 = e0)
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | REDUCE: (342), (11278) imply:
% 167.01/25.20 | | | | | | | | | | | | | | (11280) ~ (all_52_4 = e0)
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | REDUCE: (36), (11278) imply:
% 167.01/25.20 | | | | | | | | | | | | | | (11281) op(e3, e3) = e0
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 167.01/25.20 | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | (11282) all_54_4 = e1
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11282) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | (11283) all_52_1 = e1
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | REDUCE: (8582), (11283) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | (11284) $false
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | CLOSE: (11284) is inconsistent.
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | (11285) ~ (all_54_4 = e1)
% 167.01/25.20 | | | | | | | | | | | | | | | (11286) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 167.01/25.20 | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | (11287) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (8592), (11280), (11287),
% 167.01/25.20 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.20 | | | | | | | | | | | | | | | | #227.
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | (11288) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 167.01/25.20 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | BETA: splitting (11288) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | (11289) all_56_7 = e0 & op(e1, e2) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11085), (11289), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | (11290) all_56_13 = e0 & op(e0, e2) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | ALPHA: (11290) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | (11291) op(e0, e2) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | BETA: splitting (11286) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | (11292) all_54_4 = e2
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11292) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | (11293) all_52_1 = e2
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | REDUCE: (11111), (11293) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | (11294) $false
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | CLOSE: (11294) is inconsistent.
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | (11295) ~ (all_54_4 = e2)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | (11296) all_54_4 = e3 | all_54_4 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | BETA: splitting (11296) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11297) all_54_4 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11297) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11298) all_52_1 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11298) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11299) ~ (all_52_2 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | SIMP: (11299) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11300) ~ (all_52_2 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (11298) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11301) ~ (all_52_3 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | SIMP: (11301) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11302) ~ (all_52_3 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11298) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11303) ~ (all_52_13 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | SIMP: (11303) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | (11304) ~ (all_52_13 = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11305) all_54_7 = e1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11305) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11306) all_52_13 = e1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (8587), (11306) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11307) $false
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | CLOSE: (11307) is inconsistent.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11308) ~ (all_54_7 = e1)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | (11309) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11309) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | (11310) all_54_7 = e2
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11310) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | (11311) all_52_13 = e2
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11114), (11311) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | (11312) $false
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11312) is inconsistent.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | (11313) ~ (all_54_7 = e2)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | (11314) all_54_7 = e3 | all_54_7 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11314) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11315) all_54_7 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11315) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11316) all_52_13 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11304), (11316) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11317) $false
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11317) is inconsistent.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11318) all_54_7 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (11318) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11319) all_52_13 = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11319) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11320) ~ (all_52_12 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11319) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11321) ~ (all_52_14 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11304), (11319) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11322) ~ (e3 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11114), (11319) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11323) ~ (e2 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8587), (11319) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11324) ~ (e1 = e0)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (11319) imply:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | (11325) op(e2, e0) = e0
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | (11326) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11326) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | (11327) all_56_2 = e3 & op(e2, e3) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11327) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | (11328) all_56_2 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | (11329) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11329) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11330) all_56_12 = e3 & op(e0, e3) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11330) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11331) op(e0, e3) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11302), (11331), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #388.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11332) all_56_13 = e3 & op(e0, e2) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11332) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11333) op(e0, e2) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11291), (11333), (function-axioms) are
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1274.
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | (11334) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11334) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11335) all_56_14 = e3 & op(e0, e1) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11335) implies:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11336) all_56_14 = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (11337) op(e0, e1) = e3
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11338) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 167.01/25.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11338) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339) all_56_4 = e1 & op(e3, e1) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11339) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11340) op(e3, e1) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (11337) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11341) all_52_11 = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (11291) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11342) all_52_7 = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (11340) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11343) all_52_8 = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11342) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11344) ~ (all_52_3 = e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (11342) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11345) ~ (all_6_2 = e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11345) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11346) ~ (all_6_2 = e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11341), (11343) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11347) ~ (e3 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11343) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11348) ~ (all_52_12 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11348) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11349) ~ (all_52_12 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11112), (11343) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11350) ~ (e2 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (11341) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11351) ~ (all_6_2 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11352) ~ (all_22_2 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (11352) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11353) ~ (all_6_2 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11354) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11354) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11355) all_56_9 = e1 & op(e3, e0) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11349), (11355), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11356) all_56_10 = e1 & op(e2, e0) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8587), (11356), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #708.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11357) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11357) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11358) all_56_11 = e1 & op(e1, e0) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11358) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359) op(e1, e0) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11360) all_54_15 = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (11353), (11360) are inconsistent by
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1396.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361) ~ (all_54_15 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11362) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11363) all_54_15 = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11363) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11364) all_6_2 = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11364) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11365) all_6_2 = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (11365) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11366) ~ (all_52_12 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (11365) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367) ~ (e3 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11365) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11368) op(e0, e0) = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11369) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11370) all_56_0 = e3 & op(e3, e3) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11370) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11371) op(e3, e3) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (11084), (11328), (11371),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #621.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11372) all_56_1 = e3 & op(e3, e2) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11372) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11373) op(e3, e2) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (170), (201), (270), (11320), (11349),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11366), (11373), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11374) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11374) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11375) all_56_4 = e3 & op(e3, e1) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11375) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11376) all_56_4 = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (11090), (11118), (11336),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11376), (function-axioms) are inconsistent by
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377) all_56_9 = e3 & op(e3, e0) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11377) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11378) op(e3, e0) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11379) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11379) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11380) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11380) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11381) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11381) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11382) op(e3, e2) = e3
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (170), (201), (270), (11320), (11349),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11366), (11382), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #188.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11383) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (11111), (11300), (11383),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1015.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11384) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11384) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11385) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11385) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11386) op(e3, e3) = all_57_10
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11387) ~ (all_57_10 = e0) | ( ~ (all_57_9 = e3) & op(e3,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_9 & $i(all_57_9))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11281), (11378), (11386), (11387),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11388) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11302), (11344), (11388),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #387.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11389) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11389) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11390) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (164), (193), (250), (11090),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11114), (11359), (11390), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11391) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11392) all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ( ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_0 = e2) & op(e2, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_0 & $i(all_57_0))) & ( ~ (all_57_12 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (e2 = e0) | (
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_12 = e0) & op(e0, e0) = all_57_12))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11392) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11393) op(e2, e2) = all_57_12
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11394) ~ (all_57_12 = e1) | ( ~ (all_57_7 = e2) & op(e2,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_7 & $i(all_57_7))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11394) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11395) ~ (all_57_12 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8592), (11393), (11395), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11396) all_57_12 = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397) ~ (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11397) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) op(e2, e1) = all_57_7
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11122) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_7,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (11119), (11398) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) all_57_7 = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11394), (11396), (11399) are inconsistent by
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #209.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) ~ (all_16_1 = e2) & op(e0, e0) = all_16_1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11400) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) ~ (all_16_1 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) op(e0, e0) = all_16_1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11368), (11401), (11402), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (159), (160), (189), (206), (246),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372), (11088), (11089), (11344), (11353),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403), (function-axioms) are inconsistent by
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) all_54_15 = e3 | all_54_15 = e0
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (372), (11346), (11404) are inconsistent by
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1377.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) all_56_15 = e1 & op(e0, e0) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (11353), (11405), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #912.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) all_22_2 = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (11406) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) all_6_2 = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11407) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) all_6_2 = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11408) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) ~ (all_52_14 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11408) imply:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) op(e0, e0) = e1
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11411) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11412) gives:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11413) implies:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) op(e2, e3) = e2
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11111), (11414), (function-axioms) are
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1019.
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (11090), (11281), (11415),
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #405.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11416) gives:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11417) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) op(e1, e2) = e1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8584), (11418), (function-axioms) are
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (11088), (11281), (11410), (11419),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11420) gives:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11421) gives:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11422) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) (all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11090), (11409), (11423),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #485.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11424) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11424) gives:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11425) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) op(e3, e3) = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (229), (231),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (11084), (11328), (11426),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #621.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11427) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) (all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11090), (11409), (11428),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #485.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11429) gives:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11430) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) op(e2, e2) = e2
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8592), (11431), (function-axioms) are
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (157), (160), (11088), (11090), (11409),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410), (11432), (function-axioms) are
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #393.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) all_56_5 = e1 & op(e2, e1) = e1
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11118), (11433) are inconsistent by
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1135.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11090), (11336), (11434),
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) all_56_15 = e3 & op(e0, e0) = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (372), (11435), (function-axioms) are
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1097.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | (11436) all_56_3 = e3 & op(e2, e2) = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8591), (11436) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | #1047.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | (11437) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11437) gives:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_56_5 = e3 & op(e2, e1) = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11438) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | (11439) all_56_5 = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11118), (11439) are inconsistent by
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #619.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | (11440) all_56_10 = e3 & op(e2, e0) = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11440) implies:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | (11441) op(e2, e0) = e3
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11325), (11441), (function-axioms) are
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | (11442) all_54_4 = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11442) imply:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | (11443) all_52_1 = e0
% 167.01/25.22 | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | REDUCE: (11279), (11443) imply:
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | (11444) $false
% 167.01/25.22 | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | | CLOSE: (11444) is inconsistent.
% 167.01/25.22 | | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | (11445) all_56_10 = e2 & op(e2, e0) = e2
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | ALPHA: (11445) implies:
% 167.01/25.22 | | | | | | | | | | | | (11446) op(e2, e0) = e2
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | REF_CLOSE: (164), (11114), (11446), (function-axioms) are
% 167.01/25.22 | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | (11447) all_54_6 = e3 | all_54_6 = e0
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | REF_CLOSE: (11092), (11095), (11103), (11447) are
% 167.01/25.22 | | | | | | | | | | inconsistent by sub-proof #184.
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | End of split
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | | (11448) ~ (all_10_1 = e0) & op(e1, e1) = all_10_1 &
% 167.01/25.22 | | | | | | | | $i(all_10_1)
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | | REF_CLOSE: (11090), (11448), (function-axioms) are inconsistent
% 167.01/25.22 | | | | | | | | by sub-proof #183.
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | End of split
% 167.01/25.22 | | | | | | |
% 167.01/25.22 | | | | | | End of split
% 167.01/25.22 | | | | | |
% 167.01/25.22 | | | | | End of split
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | Case 2:
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | | (11449) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 167.01/25.22 | | | | | op(e0, e2) = e1)
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | | REF_CLOSE: (158), (162), (8584), (8585), (11449), (function-axioms)
% 167.01/25.22 | | | | | are inconsistent by sub-proof #706.
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | End of split
% 167.01/25.22 | | | |
% 167.01/25.22 | | | End of split
% 167.01/25.22 | | |
% 167.01/25.22 | | Case 2:
% 167.01/25.22 | | |
% 167.01/25.22 | | | (11450) all_6_2 = e3
% 167.01/25.22 | | | (11451) ( ~ (all_6_0 = e1) & op(e0, e3) = all_6_0 & $i(all_6_0)) | ( ~
% 167.01/25.22 | | | (all_6_1 = e2) & op(e3, e3) = all_6_1 & $i(all_6_1))
% 167.01/25.22 | | |
% 167.01/25.22 | | | COMBINE_EQS: (325), (11450) imply:
% 167.01/25.22 | | | (11452) all_8_2 = e3
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (349), (11450) imply:
% 167.01/25.22 | | | (11453) ~ (all_52_3 = e3)
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (360), (11450) imply:
% 167.01/25.22 | | | (11454) ~ (all_52_7 = e3)
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (367), (11450) imply:
% 167.01/25.22 | | | (11455) ~ (all_52_11 = e3)
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (368), (11450) imply:
% 167.01/25.22 | | | (11456) ~ (all_52_12 = e3)
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (369), (11450) imply:
% 167.01/25.22 | | | (11457) ~ (all_52_13 = e3)
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (370), (11450) imply:
% 167.01/25.22 | | | (11458) ~ (all_52_14 = e3)
% 167.01/25.22 | | |
% 167.01/25.22 | | | REDUCE: (39), (11450) imply:
% 167.01/25.22 | | | (11459) op(e0, e0) = e3
% 167.01/25.22 | | |
% 167.01/25.22 | | | BETA: splitting (43) gives:
% 167.01/25.22 | | |
% 167.01/25.22 | | | Case 1:
% 167.01/25.22 | | | |
% 167.01/25.22 | | | | (11460) ~ (all_8_2 = e3)
% 167.01/25.22 | | | |
% 167.01/25.22 | | | | REDUCE: (11452), (11460) imply:
% 167.01/25.22 | | | | (11461) $false
% 167.01/25.22 | | | |
% 167.01/25.22 | | | | CLOSE: (11461) is inconsistent.
% 167.01/25.22 | | | |
% 167.01/25.22 | | | Case 2:
% 167.01/25.22 | | | |
% 167.01/25.22 | | | | (11462) ( ~ (all_8_0 = e2) & op(e0, e3) = all_8_0 & $i(all_8_0)) | (
% 167.01/25.22 | | | | ~ (all_8_1 = e1) & op(e3, e3) = all_8_1 & $i(all_8_1))
% 167.01/25.22 | | | |
% 167.01/25.22 | | | | BETA: splitting (46) gives:
% 167.01/25.22 | | | |
% 167.01/25.22 | | | | Case 1:
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | | (11463) ~ (all_10_2 = e1)
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | | BETA: splitting (49) gives:
% 167.01/25.22 | | | | |
% 167.01/25.22 | | | | | Case 1:
% 167.01/25.22 | | | | | |
% 167.01/25.22 | | | | | | (11464) ~ (all_12_2 = e3)
% 167.01/25.22 | | | | | |
% 167.01/25.22 | | | | | | REDUCE: (320), (11464) imply:
% 167.01/25.22 | | | | | | (11465) ~ (all_10_2 = e3)
% 167.01/25.22 | | | | | |
% 167.01/25.22 | | | | | | BETA: splitting (52) gives:
% 167.01/25.22 | | | | | |
% 167.01/25.22 | | | | | | Case 1:
% 167.01/25.22 | | | | | | |
% 167.01/25.22 | | | | | | | (11466) ~ (all_14_2 = e0)
% 167.01/25.22 | | | | | | |
% 167.01/25.22 | | | | | | | BETA: splitting (58) gives:
% 167.01/25.22 | | | | | | |
% 167.01/25.22 | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | | (11467) ~ (all_18_2 = e0)
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | | REDUCE: (327), (11467) imply:
% 167.01/25.22 | | | | | | | | (11468) ~ (all_4_2 = e0)
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | | BETA: splitting (61) gives:
% 167.01/25.22 | | | | | | | |
% 167.01/25.22 | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | (11469) ~ (all_20_2 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | REDUCE: (300), (11469) imply:
% 167.01/25.22 | | | | | | | | | (11470) ~ (all_4_2 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | BETA: splitting (204) gives:
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | (11471) all_54_0 = e1
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | COMBINE_EQS: (279), (11471) imply:
% 167.01/25.22 | | | | | | | | | | (11472) all_4_2 = e1
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | REDUCE: (11470), (11472) imply:
% 167.01/25.22 | | | | | | | | | | (11473) $false
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | CLOSE: (11473) is inconsistent.
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | (11474) ~ (all_54_0 = e1)
% 167.01/25.22 | | | | | | | | | | (11475) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e0
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | BETA: splitting (11475) gives:
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | (11476) all_54_0 = e2
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | COMBINE_EQS: (279), (11476) imply:
% 167.01/25.22 | | | | | | | | | | | (11477) all_4_2 = e2
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | REDUCE: (371), (11477) imply:
% 167.01/25.22 | | | | | | | | | | | (11478) $false
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | CLOSE: (11478) is inconsistent.
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | (11479) ~ (all_54_0 = e2)
% 167.01/25.22 | | | | | | | | | | | (11480) all_54_0 = e3 | all_54_0 = e0
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | BETA: splitting (11480) gives:
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | (11481) all_54_0 = e3
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | COMBINE_EQS: (279), (11481) imply:
% 167.01/25.22 | | | | | | | | | | | | (11482) all_4_2 = e3
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | REDUCE: (336), (11482) imply:
% 167.01/25.22 | | | | | | | | | | | | (11483) ~ (all_52_1 = e3)
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | REDUCE: (36), (11482) imply:
% 167.01/25.22 | | | | | | | | | | | | (11484) op(e3, e3) = e3
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (67),
% 167.01/25.22 | | | | | | | | | | | | (73), (113), (126), (143), (145), (146), (148),
% 167.01/25.22 | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 167.01/25.22 | | | | | | | | | | | | (165), (167), (168), (169), (170), (193), (194),
% 167.01/25.22 | | | | | | | | | | | | (199), (200), (207), (224), (228), (230), (232),
% 167.01/25.22 | | | | | | | | | | | | (233), (234), (238), (239), (250), (268), (269),
% 167.01/25.22 | | | | | | | | | | | | (314), (322), (334), (347), (348), (350), (354),
% 167.01/25.22 | | | | | | | | | | | | (356), (358), (361), (362), (364), (11453),
% 167.01/25.22 | | | | | | | | | | | | (11454), (11456), (11457), (11459), (11462),
% 167.01/25.22 | | | | | | | | | | | | (11463), (11465), (11466), (11483), (11484),
% 167.01/25.22 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.22 | | | | | | | | | | | | #167.
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | (11485) all_54_0 = e0
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | COMBINE_EQS: (279), (11485) imply:
% 167.01/25.22 | | | | | | | | | | | | (11486) all_4_2 = e0
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | REDUCE: (11468), (11486) imply:
% 167.01/25.22 | | | | | | | | | | | | (11487) $false
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | | CLOSE: (11487) is inconsistent.
% 167.01/25.22 | | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | End of split
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | Case 2:
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | (11488) all_20_2 = e1
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | COMBINE_EQS: (300), (11488) imply:
% 167.01/25.22 | | | | | | | | | (11489) all_4_2 = e1
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | SIMP: (11489) implies:
% 167.01/25.22 | | | | | | | | | (11490) all_4_2 = e1
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | REDUCE: (336), (11490) imply:
% 167.01/25.22 | | | | | | | | | (11491) ~ (all_52_1 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | REDUCE: (338), (11490) imply:
% 167.01/25.22 | | | | | | | | | (11492) ~ (all_52_2 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | REDUCE: (340), (11490) imply:
% 167.01/25.22 | | | | | | | | | (11493) ~ (all_52_3 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | REDUCE: (344), (11490) imply:
% 167.01/25.22 | | | | | | | | | (11494) ~ (all_52_8 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | REDUCE: (346), (11490) imply:
% 167.01/25.22 | | | | | | | | | (11495) ~ (all_52_12 = e1)
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | BETA: splitting (231) gives:
% 167.01/25.22 | | | | | | | | |
% 167.01/25.22 | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | (11496) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 167.01/25.22 | | | | | | | | | | & op(e2, e3) = e1)
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | BETA: splitting (11496) gives:
% 167.01/25.22 | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | Case 1:
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | (11497) all_56_0 = e1 & op(e3, e3) = e1
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | ALPHA: (11497) implies:
% 167.01/25.22 | | | | | | | | | | | (11498) all_56_0 = e1
% 167.01/25.22 | | | | | | | | | | | (11499) op(e3, e3) = e1
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | BETA: splitting (11462) gives:
% 167.01/25.22 | | | | | | | | | | |
% 167.01/25.22 | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | (11500) ~ (all_8_0 = e2) & op(e0, e3) = all_8_0 &
% 167.01/25.23 | | | | | | | | | | | | $i(all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | ALPHA: (11500) implies:
% 167.01/25.23 | | | | | | | | | | | | (11501) ~ (all_8_0 = e2)
% 167.01/25.23 | | | | | | | | | | | | (11502) op(e0, e3) = all_8_0
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 167.01/25.23 | | | | | | | | | | | | all_8_0, e3, e0, simplifying with (159), (11502)
% 167.01/25.23 | | | | | | | | | | | | gives:
% 167.01/25.23 | | | | | | | | | | | | (11503) all_52_3 = all_8_0
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | COMBINE_EQS: (249), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11504) all_54_12 = all_8_0
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | REDUCE: (148), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11505) ~ (all_52_1 = all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | REDUCE: (144), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11506) ~ (all_52_2 = all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | REDUCE: (140), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11507) ~ (all_52_7 = all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | SIMP: (11507) implies:
% 167.01/25.23 | | | | | | | | | | | | (11508) ~ (all_52_7 = all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | REDUCE: (139), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11509) ~ (all_52_11 = all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | SIMP: (11509) implies:
% 167.01/25.23 | | | | | | | | | | | | (11510) ~ (all_52_11 = all_8_0)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | REDUCE: (11453), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11511) ~ (all_8_0 = e3)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | REDUCE: (11493), (11503) imply:
% 167.01/25.23 | | | | | | | | | | | | (11512) ~ (all_8_0 = e1)
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | BETA: splitting (192) gives:
% 167.01/25.23 | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | (11513) all_54_12 = e1
% 167.01/25.23 | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | REF_CLOSE: (11504), (11512), (11513) are inconsistent by
% 167.01/25.23 | | | | | | | | | | | | | sub-proof #166.
% 167.01/25.23 | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | (11514) ~ (all_54_12 = e1)
% 167.01/25.23 | | | | | | | | | | | | | (11515) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e0
% 167.01/25.23 | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | BETA: splitting (11515) gives:
% 167.01/25.23 | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | (11516) all_54_12 = e2
% 167.01/25.23 | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | REF_CLOSE: (11501), (11504), (11516) are inconsistent by
% 167.01/25.23 | | | | | | | | | | | | | | sub-proof #165.
% 167.01/25.23 | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | (11517) ~ (all_54_12 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | (11518) all_54_12 = e3 | all_54_12 = e0
% 167.01/25.23 | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | BETA: splitting (11518) gives:
% 167.01/25.23 | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | (11519) all_54_12 = e3
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | REF_CLOSE: (11504), (11511), (11519) are inconsistent by
% 167.01/25.23 | | | | | | | | | | | | | | | sub-proof #164.
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | (11520) all_54_12 = e0
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | COMBINE_EQS: (11504), (11520) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | (11521) all_8_0 = e0
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | SIMP: (11521) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | (11522) all_8_0 = e0
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | REDUCE: (11505), (11522) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | (11523) ~ (all_52_1 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | REDUCE: (11506), (11522) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | (11524) ~ (all_52_2 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | REDUCE: (11508), (11522) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | (11525) ~ (all_52_7 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | REDUCE: (11510), (11522) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | (11526) ~ (all_52_11 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | REDUCE: (11512), (11522) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | (11527) ~ (e1 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 167.01/25.23 | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | (11528) ~ (all_28_2 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | REDUCE: (314), (11528) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | (11529) ~ (all_10_2 = e0)
% 167.01/25.23 | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | (11530) all_54_5 = e1
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11530) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | (11531) all_10_2 = e1
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | REDUCE: (11463), (11531) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | (11532) $false
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | CLOSE: (11532) is inconsistent.
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | (11533) ~ (all_54_5 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | (11534) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | BETA: splitting (11534) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11535) all_54_5 = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11535) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11536) all_10_2 = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | REDUCE: (347), (11536) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11537) ~ (all_52_1 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | REDUCE: (354), (11536) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11538) ~ (all_52_7 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | REDUCE: (356), (11536) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11539) ~ (all_52_9 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | REDUCE: (358), (11536) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11540) ~ (all_52_13 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | REDUCE: (11465), (11536) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11541) ~ (e3 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | REDUCE: (45), (11536) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | (11542) op(e2, e2) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | (11543) all_54_4 = e1
% 167.01/25.23 | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11491), (11543) are inconsistent by
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 167.01/25.23 | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | (11544) ~ (all_54_4 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | (11545) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e0
% 167.01/25.23 | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (11545) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | (11546) all_54_4 = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11537), (11546) are inconsistent by
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | sub-proof #1317.
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | (11547) ~ (all_54_4 = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | (11548) all_54_4 = e3 | all_54_4 = e0
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | (11549) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11549) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (11550) all_56_12 = e2 & op(e0, e3) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11550) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (11551) op(e0, e3) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11501), (11502), (11551), (function-axioms) are
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #170.
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (11552) all_56_13 = e2 & op(e0, e2) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11552) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (11553) op(e0, e2) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (191), (248), (11525), (11538), (11553),
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | #163.
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | (11554) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11554) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (11555) all_56_14 = e2 & op(e0, e1) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11555) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | (11556) all_56_14 = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11548) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | (11557) all_54_4 = e3
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11557) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | (11558) all_52_1 = e3
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11558) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | (11559) ~ (all_52_2 = e3)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11559) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | (11560) ~ (all_52_2 = e3)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11558) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | (11561) ~ (all_52_13 = e3)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11558) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | (11562) op(e2, e3) = e3
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | (11563) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11563) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | (11564) all_56_2 = e3 & op(e2, e3) = e3
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11564) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | (11565) all_56_2 = e3
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) all_54_13 = e1
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11566) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) all_52_7 = e1
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11567) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) ~ (all_52_6 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11567) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) ~ (all_52_11 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11569) implies:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) ~ (all_52_11 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11454), (11567) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) ~ (e3 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11538), (11567) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) ~ (e2 = e1)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (11567) imply:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) op(e0, e2) = e1
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.01/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11574) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (11537), (11542), (11560), (11575),
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11576) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & $i(all_57_10) & ( ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_9 = e3) & op(e3, e0) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_9 & $i(all_57_9))) & ( ~ (e3 = e1) | (
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e1) & op(e1, e1) = all_57_10))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11577) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) op(e3, e1) = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11494), (11578), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1412.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11579) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 & op(e0,
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15) & ( ~ (all_57_15
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_5 = e0) & op(e0, e2) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_5 & $i(all_57_5))) & ( ~ (all_57_15 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_8 = e0) & op(e0, e1) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_8 & $i(all_57_8)))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11580) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) op(e0, e3) = e3
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11453), (11581), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #388.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_10) & ( ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_3 = e3) & op(e3, e2) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 & $i(all_57_3))) & ( ~ (all_57_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_6 = e3) & op(e3, e1) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_6 & $i(all_57_6))) & ( ~ (e3 = e0) | (
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_10 = e0) & op(e0, e0) = all_57_10))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11582) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) op(e3, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11584) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) all_56_12 = e1 & op(e0, e3) = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11585) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_56_12 = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (163), (229), (11498), (11524), (11565),
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586), (function-axioms) are inconsistent by
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #466.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) all_56_13 = e1 & op(e0, e2) = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11587) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_56_13 = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (168), (11540), (11583), (11589),
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #161.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11590) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) all_56_11 = e2 & op(e1, e0) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11591) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) all_56_11 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) op(e1, e0) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_54_14 = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11570), (11594) are inconsistent by
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) ~ (all_54_14 = e1)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11596) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_54_14 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11597) imply:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_52_11 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11598) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) all_52_11 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11599) imply:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) ~ (all_52_8 = e2)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11601) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) all_56_9 = e1 & op(e3, e0) = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11495), (11602), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) all_56_10 = e1 & op(e2, e0) = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11603) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) all_56_10 = e1
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11605) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) all_56_6 = e0 & op(e1, e3) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11524), (11606), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) all_56_7 = e0 & op(e1, e2) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11607) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) all_56_7 = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11609) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) all_56_0 = e2 & op(e3, e3) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11610) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) op(e3, e3) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11499), (11611), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) all_56_1 = e2 & op(e3, e2) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11612) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_56_1 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (11542), (11613), (11614),
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #415.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11615) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) all_56_7 = e3 & op(e1, e2) = e3
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11608), (11616) are inconsistent by
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #649.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) all_56_13 = e3 & op(e0, e2) = e3
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11617) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) all_56_13 = e3
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) op(e0, e2) = e3
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542), (11608), (11613), (11618), (11619),
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) all_56_4 = e2 & op(e3, e1) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11600), (11621), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) all_56_9 = e2 & op(e3, e0) = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11622) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) all_56_9 = e2
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) all_56_15 = e0 & op(e0, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11624) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) op(e0, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11459), (11625), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1064.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11626) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11627) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) all_56_9 = e0 & op(e3, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11628) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) all_56_9 = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11623), (11629) are inconsistent by
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1333.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (11592), (11604), (11630) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #735.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11631) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) all_56_8 = e0 & op(e1, e1) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11632) implies:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) op(e1, e1) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (11466), (11633), (function-axioms) are
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #339.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) all_56_11 = e0 & op(e1, e0) = e0
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11592), (11634) are inconsistent by
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1105.
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11635) gives:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) all_56_11 = e1 & op(e1, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11636) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) op(e1, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (11593), (11637), (function-axioms)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1222.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) all_56_15 = e1 & op(e0, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11638) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) op(e0, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (206), (208),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (11526), (11588), (11639),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #783.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_54_14 = e3 | all_54_14 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11455), (11526), (11640) are inconsistent
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #762.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) all_56_15 = e2 & op(e0, e0) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11641) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) op(e0, e0) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (11556),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573), (11588), (11642), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #850.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (11459), (11570), (11643),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11644) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11645) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 & op(e1,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14) & ( ~ (all_57_14
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_1 = e1) & op(e1, e3) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_1 & $i(all_57_1))) & ( ~ (all_57_14 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_13 = e1) & op(e1, e0) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 & $i(all_57_13)))
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11646) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) op(e2, e1) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11539), (11647), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (11568), (11573), (11648),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #160.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (11526), (11570), (11573), (11649),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11454), (11525), (11538), (11650) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | (11651) all_56_3 = e3 & op(e2, e2) = e3
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11651) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | (11652) op(e2, e2) = e3
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (11542), (11652), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | (11653) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11653) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_56_5 = e3 & op(e2, e1) = e3
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11654) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | (11655) all_56_5 = e3
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | (11656) op(e2, e1) = e3
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (11542), (11562), (11657),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | #686.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11658) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) all_56_5 = e1 & op(e2, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11659) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) op(e2, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (11656), (11660), (function-axioms)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #985.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_56_10 = e1 & op(e2, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11661) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) all_56_10 = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (11523), (11542), (11663),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #158.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11655), (11662), (11664) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #856.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | (11665) all_56_10 = e3 & op(e2, e0) = e3
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11457), (11665), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #391.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | (11666) all_54_4 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11666) imply:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | (11667) all_52_1 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11523), (11667) imply:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | (11668) $false
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11668) is inconsistent.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | (11669) all_56_15 = e2 & op(e0, e0) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11669) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | (11670) op(e0, e0) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11459), (11670), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11671) all_54_5 = e3 | all_54_5 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (11465), (11529), (11671) are inconsistent
% 167.11/25.24 | | | | | | | | | | | | | | | | | | by sub-proof #1400.
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | (11672) all_28_2 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | (11673) ( ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e0, e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (11672) imply:
% 167.11/25.24 | | | | | | | | | | | | | | | | (11674) all_10_2 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | REDUCE: (352), (11674) imply:
% 167.11/25.24 | | | | | | | | | | | | | | | | (11675) ~ (all_52_6 = e0)
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | (11676) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | BETA: splitting (11676) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11677) all_56_6 = e0 & op(e1, e3) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11524), (11677), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11678) all_56_7 = e0 & op(e1, e2) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11675), (11678), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | (11679) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | BETA: splitting (11679) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11680) all_56_8 = e0 & op(e1, e1) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | ALPHA: (11680) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11681) op(e1, e1) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (11466), (11681), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #339.
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11682) all_56_11 = e0 & op(e1, e0) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | ALPHA: (11682) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | (11683) op(e1, e0) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | (11684) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (11684) gives:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | (11685) all_56_9 = e1 & op(e3, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11495), (11685), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | (11686) all_56_10 = e1 & op(e2, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | ALPHA: (11686) implies:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | (11687) op(e2, e0) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11459), (11673), (11687), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | (11688) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11459), (11683), (11688),
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | | | | #154.
% 167.11/25.24 | | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | (11689) ~ (all_8_1 = e1) & op(e3, e3) = all_8_1 &
% 167.11/25.24 | | | | | | | | | | | | $i(all_8_1)
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | ALPHA: (11689) implies:
% 167.11/25.24 | | | | | | | | | | | | (11690) ~ (all_8_1 = e1)
% 167.11/25.24 | | | | | | | | | | | | (11691) op(e3, e3) = all_8_1
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REF_CLOSE: (11499), (11690), (11691), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | | inconsistent by sub-proof #153.
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | (11692) all_56_2 = e1 & op(e2, e3) = e1
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | REF_CLOSE: (167), (11491), (11692), (function-axioms) are
% 167.11/25.24 | | | | | | | | | | | inconsistent by sub-proof #732.
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | (11693) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 167.11/25.24 | | | | | | | | | | e1 & op(e0, e3) = e1)
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | REF_CLOSE: (159), (163), (11492), (11493), (11693),
% 167.11/25.24 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | #957.
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | |
% 167.11/25.24 | | | | | | | | End of split
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | (11694) all_18_2 = e0
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | COMBINE_EQS: (327), (11694) imply:
% 167.11/25.24 | | | | | | | | (11695) all_4_2 = e0
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | SIMP: (11695) implies:
% 167.11/25.24 | | | | | | | | (11696) all_4_2 = e0
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | COMBINE_EQS: (281), (11696) imply:
% 167.11/25.24 | | | | | | | | (11697) all_48_2 = e0
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (336), (11696) imply:
% 167.11/25.24 | | | | | | | | (11698) ~ (all_52_1 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (338), (11696) imply:
% 167.11/25.24 | | | | | | | | (11699) ~ (all_52_2 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (340), (11696) imply:
% 167.11/25.24 | | | | | | | | (11700) ~ (all_52_3 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (342), (11696) imply:
% 167.11/25.24 | | | | | | | | (11701) ~ (all_52_4 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (344), (11696) imply:
% 167.11/25.24 | | | | | | | | (11702) ~ (all_52_8 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (346), (11696) imply:
% 167.11/25.24 | | | | | | | | (11703) ~ (all_52_12 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (371), (11696) imply:
% 167.11/25.24 | | | | | | | | (11704) ~ (e2 = e0)
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | REDUCE: (36), (11696) imply:
% 167.11/25.24 | | | | | | | | (11705) op(e3, e3) = e0
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | BETA: splitting (67) gives:
% 167.11/25.24 | | | | | | | |
% 167.11/25.24 | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | |
% 167.11/25.24 | | | | | | | | | (11706) ~ (all_24_2 = e2)
% 167.11/25.24 | | | | | | | | |
% 167.11/25.24 | | | | | | | | | REDUCE: (322), (11706) imply:
% 167.11/25.24 | | | | | | | | | (11707) ~ (all_14_2 = e2)
% 167.11/25.24 | | | | | | | | |
% 167.11/25.24 | | | | | | | | | BETA: splitting (73) gives:
% 167.11/25.24 | | | | | | | | |
% 167.11/25.24 | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | (11708) ~ (all_28_2 = e0)
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | REDUCE: (314), (11708) imply:
% 167.11/25.24 | | | | | | | | | | (11709) ~ (all_10_2 = e0)
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | BETA: splitting (199) gives:
% 167.11/25.24 | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | (11710) all_54_5 = e1
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | REF_CLOSE: (268), (11463), (11710) are inconsistent by
% 167.11/25.24 | | | | | | | | | | | sub-proof #1418.
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | (11711) ~ (all_54_5 = e1)
% 167.11/25.24 | | | | | | | | | | | (11712) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | BETA: splitting (11712) gives:
% 167.11/25.24 | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | (11713) all_54_5 = e2
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | COMBINE_EQS: (268), (11713) imply:
% 167.11/25.24 | | | | | | | | | | | | (11714) all_10_2 = e2
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | SIMP: (11714) implies:
% 167.11/25.24 | | | | | | | | | | | | (11715) all_10_2 = e2
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REDUCE: (347), (11715) imply:
% 167.11/25.24 | | | | | | | | | | | | (11716) ~ (all_52_1 = e2)
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REDUCE: (352), (11715) imply:
% 167.11/25.24 | | | | | | | | | | | | (11717) ~ (all_52_6 = e2)
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REDUCE: (354), (11715) imply:
% 167.11/25.24 | | | | | | | | | | | | (11718) ~ (all_52_7 = e2)
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REDUCE: (356), (11715) imply:
% 167.11/25.24 | | | | | | | | | | | | (11719) ~ (all_52_9 = e2)
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REDUCE: (358), (11715) imply:
% 167.11/25.24 | | | | | | | | | | | | (11720) ~ (all_52_13 = e2)
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | REDUCE: (45), (11715) imply:
% 167.11/25.24 | | | | | | | | | | | | (11721) op(e2, e2) = e2
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | BETA: splitting (70) gives:
% 167.11/25.24 | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | (11722) ~ (all_26_2 = e3)
% 167.11/25.24 | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | REDUCE: (303), (11722) imply:
% 167.11/25.24 | | | | | | | | | | | | | (11723) ~ (all_14_2 = e3)
% 167.11/25.24 | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 167.11/25.24 | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | (11724) all_54_10 = e1
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | COMBINE_EQS: (334), (11724) imply:
% 167.11/25.24 | | | | | | | | | | | | | | (11725) all_14_2 = e1
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | SIMP: (11725) implies:
% 167.11/25.24 | | | | | | | | | | | | | | (11726) all_14_2 = e1
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | REDUCE: (361), (11726) imply:
% 167.11/25.24 | | | | | | | | | | | | | | (11727) ~ (all_52_8 = e1)
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | REDUCE: (362), (11726) imply:
% 167.11/25.24 | | | | | | | | | | | | | | (11728) ~ (all_52_9 = e1)
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | REDUCE: (364), (11726) imply:
% 167.11/25.24 | | | | | | | | | | | | | | (11729) ~ (all_52_11 = e1)
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | REDUCE: (51), (11726) imply:
% 167.11/25.24 | | | | | | | | | | | | | | (11730) op(e1, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.11/25.24 | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | (11731) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.11/25.24 | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.11/25.24 | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.11/25.24 | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.24 | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.24 | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.11/25.24 | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.11/25.24 | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.11/25.24 | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.11/25.24 | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.11/25.24 | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.11/25.24 | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.11/25.24 | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.11/25.24 | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.11/25.24 | | | | | | | | | | | | | | | = all_57_10)))
% 167.11/25.24 | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | BETA: splitting (11731) gives:
% 167.11/25.24 | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | Case 1:
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | (11732) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.11/25.24 | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.11/25.24 | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.11/25.24 | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.11/25.24 | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11716), (11721), (11730), (11732),
% 167.11/25.24 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | #907.
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | (11733) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.11/25.24 | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.11/25.24 | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.11/25.24 | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.11/25.24 | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.11/25.24 | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.11/25.24 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.11/25.24 | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.11/25.24 | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.11/25.24 | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (11453), (11700), (11727), (11733),
% 167.11/25.24 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.24 | | | | | | | | | | | | | | | | #386.
% 167.11/25.24 | | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | | End of split
% 167.11/25.24 | | | | | | | | | | | | | | |
% 167.11/25.24 | | | | | | | | | | | | | | Case 2:
% 167.11/25.24 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | (11734) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.25 | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.25 | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.25 | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.25 | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.25 | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.25 | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.25 | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.25 | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.11/25.25 | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.11/25.25 | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.11/25.25 | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.11/25.25 | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.11/25.25 | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.11/25.25 | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.11/25.25 | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.11/25.25 | | | | | | | | | | | | | | | = all_57_14)))
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | BETA: splitting (11734) gives:
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | (11735) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.25 | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.25 | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.25 | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.25 | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.25 | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.25 | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.25 | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (11720), (11728), (11730), (11735),
% 167.11/25.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.25 | | | | | | | | | | | | | | | | #151.
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | (11736) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.11/25.25 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.11/25.25 | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.11/25.25 | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11721), (11729), (11730), (11736),
% 167.11/25.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.25 | | | | | | | | | | | | | | | | #895.
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | (11737) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e0
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | REF_CLOSE: (334), (11466), (11707), (11723), (11737) are
% 167.11/25.25 | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | (11738) all_26_2 = e3
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | COMBINE_EQS: (303), (11738) imply:
% 167.11/25.25 | | | | | | | | | | | | | (11739) all_14_2 = e3
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | COMBINE_EQS: (332), (11739) imply:
% 167.11/25.25 | | | | | | | | | | | | | (11740) all_42_2 = e3
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | REDUCE: (348), (11739) imply:
% 167.11/25.25 | | | | | | | | | | | | | (11741) ~ (all_52_2 = e3)
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | REDUCE: (359), (11739) imply:
% 167.11/25.25 | | | | | | | | | | | | | (11742) ~ (all_52_6 = e3)
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | REDUCE: (361), (11739) imply:
% 167.11/25.25 | | | | | | | | | | | | | (11743) ~ (all_52_8 = e3)
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | REDUCE: (51), (11739) imply:
% 167.11/25.25 | | | | | | | | | | | | | (11744) op(e1, e1) = e3
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 167.11/25.25 | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | (11745) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 167.11/25.25 | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | BETA: splitting (11745) gives:
% 167.11/25.25 | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | (11746) all_56_0 = e3 & op(e3, e3) = e3
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | ALPHA: (11746) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | (11747) op(e3, e3) = e3
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | REF_CLOSE: (7), (11705), (11747), (function-axioms) are
% 167.11/25.25 | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | (11748) all_56_1 = e3 & op(e3, e2) = e3
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | ALPHA: (11748) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | (11749) op(e3, e2) = e3
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 167.11/25.25 | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | (11750) ~ (all_42_2 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | REDUCE: (11740), (11750) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | (11751) $false
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | CLOSE: (11751) is inconsistent.
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | (11752) ( ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e3, e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | (11753) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | BETA: splitting (11753) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11754) all_56_2 = e3 & op(e2, e3) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | ALPHA: (11754) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11755) op(e2, e3) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | BETA: splitting (11752) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | (11756) ~ (all_42_0 = e2) & op(e1, e3) = all_42_0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | ALPHA: (11756) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | (11757) ~ (all_42_0 = e2)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | (11758) op(e1, e3) = all_42_0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | (11759) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (11741), (11742), (11759),
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | #837.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | (11760) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11760) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11761) all_56_8 = e3 & op(e1, e1) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | all_42_0, e3, e1, simplifying with (163), (11758)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11762) all_52_2 = all_42_0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (11755) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11763) all_52_1 = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (11749) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11764) all_52_4 = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11762) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11765) all_54_8 = all_42_0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (11763) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11766) ~ (all_52_3 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11762) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11767) ~ (all_52_6 = all_42_0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | SIMP: (11767) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11768) ~ (all_52_6 = all_42_0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11762) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11769) ~ (all_52_14 = all_42_0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | SIMP: (11769) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11770) ~ (all_52_14 = all_42_0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11764) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11771) ~ (all_52_6 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11764) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11772) ~ (all_52_7 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (11764) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11773) ~ (all_52_12 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11774) all_54_8 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11765), (11774) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11775) all_42_0 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11775) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11776) all_42_0 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11768), (11776) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11777) ~ (all_52_6 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11770), (11776) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11778) ~ (all_52_14 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11758), (11776) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11779) op(e1, e3) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | (11780) all_54_9 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11777), (11780) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | (11781) ~ (all_54_9 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | (11782) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11782) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | (11783) all_54_9 = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11717), (11783) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1143.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | (11784) all_54_9 = e3 | all_54_9 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11784) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11785) all_54_9 = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11742), (11785) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1142.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11786) all_54_9 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11786) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11787) all_52_6 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11787) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11788) all_52_6 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11788) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11789) ~ (all_52_7 = e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11789) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11790) ~ (all_52_7 = e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11788) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11791) ~ (all_52_14 = e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11791) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | (11792) ~ (all_52_14 = e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11793) all_54_13 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11793) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11794) all_52_7 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11794) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11795) all_52_7 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11795) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11796) ~ (all_52_11 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11796) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11797) ~ (all_52_11 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (11795) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11798) op(e0, e2) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11799) all_54_11 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11778), (11799) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1138.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11800) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11800) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11801) all_54_11 = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11801) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11802) all_52_14 = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11802) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11803) all_52_14 = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11803) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11804) ~ (all_52_12 = e2)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11805) all_54_3 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11805) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11806) all_52_12 = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11806) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11807) ~ (all_52_8 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11456), (11806) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11808) ~ (e3 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11804), (11806) imply:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11809) ~ (e2 = e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11810) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13)))) | (all_57_1 = e1 & all_57_6
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e1) = e1 & op(e1, e3) = e1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_9 = e3) & op(e3, e0) = all_57_9 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_9))) & ( ~ (e3 = e1) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e1, e1) = all_57_10)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e3 & all_57_9 = e3 & ~ (all_57_15 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e1) | ( ~ (all_57_8 = e0) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_57_8 & $i(all_57_8)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0 & all_57_9 = e0 & ~ (all_57_10 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e0) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0 & $i(all_57_10) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e0) | ( ~ (all_57_10 = e0) & op(e0, e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11810) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11811) (all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11811) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11812) all_57_0 = e3 & all_57_3 = e3 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e2) = e3 & op(e2, e3) = e3 & op(e2,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12) & ( ~ (all_57_12
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | ( ~ (all_57_7 = e2) & op(e2, e1) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 & $i(all_57_7))) & ( ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ( ~ (all_57_11 = e2) & op(e2, e0) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 & $i(all_57_11)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11812) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11813) ~ (all_57_12 = e2)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11814) op(e2, e2) = all_57_12
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11721), (11813), (11814), (function-axioms) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1417.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11815) (all_57_0 = e2 & all_57_3 = e2 & ~ (all_57_10 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e2) = e2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2 & $i(all_57_10) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) | ( ~ (all_57_6 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_6 & $i(all_57_6))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e2) | ( ~ (all_57_10 = e2) & op(e2, e2)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_1 = e3 & all_57_6 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_14 = e1) & op(e3, e1) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (all_57_14 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1) & op(e1, e0) = all_57_13 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_13))))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (11716), (11758), (11779), (11815),
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11816) (all_57_1 = e1 & all_57_6 = e1 & ~ (all_57_10 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e3, e3) = all_57_10 & op(e3, e1) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1 & $i(all_57_10) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) | ( ~ (all_57_3 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_3 & $i(all_57_3))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) | ( ~ (all_57_9 = e3) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_9 & $i(all_57_9))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e3 = e1) | ( ~ (all_57_10 = e1) & op(e1, e1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10))) | (all_57_2 = e3 & all_57_9 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_15 = e0) & op(e3, e0) = e3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5))) & ( ~ (all_57_15 = e1) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_2 = e0 & all_57_9
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_10 = e3) & op(e3, e3) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e3, e0) = e0 & op(e0, e3) = e0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ( ~ (all_57_10 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3) & op(e3, e2) = all_57_3 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_3))) & ( ~ (all_57_10 = e1) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3) & op(e3, e1) = all_57_6 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_6))) & ( ~ (e3 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e0, e0) = all_57_10)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (11453), (11700), (11807), (11816),
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #386.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11817) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8)))) | (all_57_5 = e0 & all_57_11
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_12 = e2) & op(e2, e2) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e2, e0) = e0 & op(e0, e2) = e0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ( ~ (all_57_12 = e3) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_0 = e2) & op(e2, e3) = all_57_0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_0))) & ( ~ (all_57_12 = e1) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2) & op(e2, e1) = all_57_7 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_7))) & ( ~ (e2 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e0, e0) = all_57_12)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e1 & all_57_13 = e1 & ~ (all_57_15
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e0) = e1 & op(e0, e1) = e1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_15 & $i(all_57_15) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e3) | ( ~ (all_57_2 = e0) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_2 & $i(all_57_2))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e2) | ( ~ (all_57_5 = e0) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_5 & $i(all_57_5)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_13 = e0 & ~ (all_57_14 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = all_57_14 & op(e1, e0) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0 & $i(all_57_14) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) | ( ~ (all_57_4 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_4 & $i(all_57_4))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e1 = e0) | ( ~ (all_57_14 = e0) & op(e0, e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_14)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11817) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11818) (all_57_4 = e2 & all_57_7 = e2 & ~ (all_57_14 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e1) = e2 & op(e1, e2) = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) | ( ~ (all_57_1 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_1 & $i(all_57_1))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) | ( ~ (all_57_13 = e1) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_13 & $i(all_57_13)))) |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_7 = e1 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e1) = e1
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) | ( ~ (all_57_11 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_11 & $i(all_57_11))) & (
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (e2 = e1) | ( ~ (all_57_12 = e1) & op(e1,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_12))) | (all_57_5 = e2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e2 & ~ (all_57_15 = e0) & op(e2,
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & op(e0, e2) = e2 & op(e0, e0) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15) & ( ~ (all_57_15 = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_2 = e0) & op(e0, e3) = all_57_2
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_2))) & ( ~ (all_57_15 = e1) | (
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_57_8 = e0) & op(e0, e1) = all_57_8 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_8))))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (11744), (11777), (11779), (11798),
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11818), (function-axioms) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11819) (all_57_5 = e0 & all_57_11 = e0 & ~ (all_57_12 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = all_57_12 & op(e2, e0) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e0 & $i(all_57_12) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) | ( ~ (all_57_0 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_0 & $i(all_57_0))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) | ( ~ (all_57_7 = e2) &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_7 & $i(all_57_7))) & ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (e2 = e0) | ( ~ (all_57_12 = e0) & op(e0, e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_12))) | (all_57_8 = e1 & all_57_13
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_15 = e0) & op(e1, e0) = e1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1 & op(e0, e0) = all_57_15 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ( ~ (all_57_15 = e3) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_2 = e0) & op(e0, e3) = all_57_2 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_2))) & ( ~ (all_57_15 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0) & op(e0, e2) = all_57_5 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_5)))) | (all_57_8 = e0 & all_57_13
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_57_14 = e1) & op(e1, e1) =
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e1, e0) = e0 & op(e0, e1) = e0 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ( ~ (all_57_14 = e3) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1) & op(e1, e3) = all_57_1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_1))) & ( ~ (all_57_14 = e2) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1) & op(e1, e2) = all_57_4 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_4))) & ( ~ (e1 = e0) | ( ~
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e0, e0) = all_57_14)))
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (160), (11792), (11797), (11798),
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11819), (function-axioms) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #899.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11820) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11456), (11703), (11804), (11820) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11821) all_54_11 = e3 | all_54_11 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11458), (11792), (11821) are inconsistent
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #343.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (11822) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11454), (11718), (11790), (11822) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | (11823) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11699), (11741), (11757), (11765), (11823)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #669.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | (11824) all_56_11 = e3 & op(e1, e0) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11458), (11824), (function-axioms) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | (11825) ~ (all_42_1 = e0) & op(e3, e3) = all_42_1 &
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11705), (11825), (function-axioms) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #668.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11826) all_56_3 = e3 & op(e2, e2) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | ALPHA: (11826) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11827) op(e2, e2) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (11721), (11827), (function-axioms) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1267.
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | (11828) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 167.11/25.25 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | BETA: splitting (11828) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11829) all_56_5 = e3 & op(e2, e1) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | ALPHA: (11829) implies:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11830) all_56_5 = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | | (11831) op(e2, e1) = e3
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | (11832) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (11832) gives:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | (11833) all_56_4 = e0 & op(e3, e1) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11702), (11833), (function-axioms) are
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | (11834) all_56_5 = e0 & op(e2, e1) = e0
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11830), (11834) are inconsistent by
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | | sub-proof #1292.
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.25 | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.25 | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | (11835) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 167.11/25.26 | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (11835) gives:
% 167.11/25.26 | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | (11836) all_56_8 = e0 & op(e1, e1) = e0
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (11836) implies:
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | (11837) op(e1, e1) = e0
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11744), (11837), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1251.
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | (11838) all_56_14 = e0 & op(e0, e1) = e0
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (11838) implies:
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | (11839) all_56_14 = e0
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | (219), (11719), (11744), (11830), (11831),
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | (11839), (function-axioms) are inconsistent by
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | | sub-proof #146.
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | (11840) all_56_10 = e3 & op(e2, e0) = e3
% 167.11/25.26 | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11457), (11840), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #391.
% 167.11/25.26 | | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | (11841) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 167.11/25.26 | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (11456), (11743), (11841),
% 167.11/25.26 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.26 | | | | | | | | | | | | | | #145.
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | (11842) all_54_5 = e3 | all_54_5 = e0
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | REF_CLOSE: (268), (11465), (11709), (11842) are inconsistent
% 167.11/25.26 | | | | | | | | | | | | by sub-proof #1400.
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | (11843) all_28_2 = e0
% 167.11/25.26 | | | | | | | | | | (11844) ( ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 167.11/25.26 | | | | | | | | | | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e0, e0)
% 167.11/25.26 | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | COMBINE_EQS: (314), (11843) imply:
% 167.11/25.26 | | | | | | | | | | (11845) all_10_2 = e0
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (352), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11846) ~ (all_52_6 = e0)
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (354), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11847) ~ (all_52_7 = e0)
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (356), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11848) ~ (all_52_9 = e0)
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (358), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11849) ~ (all_52_13 = e0)
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (11465), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11850) ~ (e3 = e0)
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (11463), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11851) ~ (e1 = e0)
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | REDUCE: (45), (11845) imply:
% 167.11/25.26 | | | | | | | | | | (11852) op(e2, e2) = e0
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | BETA: splitting (238) gives:
% 167.11/25.26 | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | (11853) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.11/25.26 | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.11/25.26 | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.26 | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.11/25.26 | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.11/25.26 | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.26 | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.11/25.26 | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.11/25.26 | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.26 | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.11/25.26 | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.11/25.26 | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.26 | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.11/25.26 | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.11/25.26 | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.26 | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.11/25.26 | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.11/25.26 | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.26 | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | BETA: splitting (11853) gives:
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | (11854) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.11/25.26 | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.11/25.26 | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.26 | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.11/25.26 | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.11/25.26 | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.26 | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.11/25.26 | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.11/25.26 | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.26 | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | BETA: splitting (11854) gives:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11855) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 167.11/25.26 | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 167.11/25.26 | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | ALPHA: (11855) implies:
% 167.11/25.26 | | | | | | | | | | | | | (11856) op(e2, e2) = e3
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | REF_CLOSE: (7), (11852), (11856), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11857) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.11/25.26 | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.11/25.26 | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.26 | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.11/25.26 | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.11/25.26 | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.26 | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | BETA: splitting (11857) gives:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | (11858) all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) = e2)
% 167.11/25.26 | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12
% 167.11/25.26 | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | ALPHA: (11858) implies:
% 167.11/25.26 | | | | | | | | | | | | | | (11859) (all_57_2 = e0 & op(e0, e3) = e0) | ( ~ (all_57_15
% 167.11/25.26 | | | | | | | | | | | | | | = e3) & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_15))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | REF_CLOSE: (159), (11459), (11700), (11859),
% 167.11/25.26 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.26 | | | | | | | | | | | | | | #144.
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | (11860) all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 167.11/25.26 | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1)
% 167.11/25.26 | | | | | | | | | | | | | | | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14
% 167.11/25.26 | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | ALPHA: (11860) implies:
% 167.11/25.26 | | | | | | | | | | | | | | (11861) op(e3, e3) = e2
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | REF_CLOSE: (5), (11705), (11861), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | (11862) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.11/25.26 | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.11/25.26 | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.26 | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.11/25.26 | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.11/25.26 | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.26 | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.11/25.26 | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.11/25.26 | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.26 | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | BETA: splitting (11862) gives:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11863) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 167.11/25.26 | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.11/25.26 | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | REF_CLOSE: (51), (11707), (11863), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11864) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 167.11/25.26 | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.11/25.26 | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.11/25.26 | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.26 | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.11/25.26 | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.11/25.26 | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.26 | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | REF_CLOSE: (4), (11705), (11852), (11864), (function-axioms)
% 167.11/25.26 | | | | | | | | | | | | | are inconsistent by sub-proof #703.
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | (11865) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.11/25.26 | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.11/25.26 | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.11/25.26 | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.26 | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.11/25.26 | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.11/25.26 | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.26 | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.26 | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.26 | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.11/25.26 | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.26 | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.26 | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.11/25.26 | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.11/25.26 | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.26 | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.11/25.26 | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.11/25.26 | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.11/25.26 | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.11/25.26 | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.11/25.26 | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.11/25.26 | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.11/25.26 | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.11/25.26 | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.11/25.26 | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.11/25.26 | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.11/25.26 | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.11/25.26 | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.11/25.26 | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.11/25.26 | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.11/25.26 | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.11/25.26 | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.26 | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.11/25.26 | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.11/25.26 | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.11/25.26 | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.11/25.26 | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | BETA: splitting (11865) gives:
% 167.11/25.26 | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | (11866) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.11/25.26 | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.11/25.26 | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.11/25.26 | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.26 | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.26 | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.11/25.26 | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.11/25.26 | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.26 | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.26 | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.11/25.26 | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.26 | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | BETA: splitting (11866) gives:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11867) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 167.11/25.26 | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.11/25.26 | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 167.11/25.26 | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 167.11/25.26 | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | ALPHA: (11867) implies:
% 167.11/25.26 | | | | | | | | | | | | | (11868) op(e3, e0) = e3
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | REF_CLOSE: (168), (11456), (11868), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | inconsistent by sub-proof #1411.
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11869) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.11/25.26 | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.11/25.26 | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.26 | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.26 | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.11/25.26 | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.26 | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | BETA: splitting (11869) gives:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | (11870) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 167.11/25.26 | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 167.11/25.26 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 167.11/25.26 | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 167.11/25.26 | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | ALPHA: (11870) implies:
% 167.11/25.26 | | | | | | | | | | | | | | (11871) op(e3, e3) = e3
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | REF_CLOSE: (7), (11705), (11871), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | (11872) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.26 | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 167.11/25.26 | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.11/25.26 | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 167.11/25.26 | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 167.11/25.26 | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | ALPHA: (11872) implies:
% 167.11/25.26 | | | | | | | | | | | | | | (11873) (all_57_9 = e3 & op(e3, e0) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | | | | = e0) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_10))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | REF_CLOSE: (168), (11456), (11705), (11873),
% 167.11/25.26 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.26 | | | | | | | | | | | | | | #142.
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | End of split
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | (11874) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.11/25.26 | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.11/25.26 | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.11/25.26 | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.11/25.26 | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.11/25.26 | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.11/25.26 | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.11/25.26 | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.11/25.26 | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.11/25.26 | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.11/25.26 | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.11/25.26 | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.11/25.26 | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.11/25.26 | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.11/25.26 | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.11/25.26 | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.11/25.26 | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.11/25.26 | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.26 | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.11/25.26 | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.11/25.26 | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.11/25.26 | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.11/25.26 | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | BETA: splitting (11874) gives:
% 167.11/25.26 | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11875) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 167.11/25.26 | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 167.11/25.26 | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 167.11/25.26 | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | ALPHA: (11875) implies:
% 167.11/25.26 | | | | | | | | | | | | | (11876) op(e2, e2) = e2
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | REF_CLOSE: (5), (11852), (11876), (function-axioms) are
% 167.11/25.26 | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | Case 2:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | (11877) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.11/25.26 | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.11/25.26 | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.11/25.26 | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.26 | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.11/25.26 | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.11/25.26 | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.11/25.26 | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.11/25.26 | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.11/25.26 | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.11/25.26 | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.11/25.26 | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.11/25.26 | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.11/25.26 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.11/25.26 | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.11/25.26 | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.11/25.26 | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.11/25.26 | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.11/25.26 | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.11/25.26 | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.26 | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.11/25.26 | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.11/25.26 | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.11/25.26 | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.11/25.26 | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.11/25.26 | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.11/25.26 | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | BETA: splitting (11877) gives:
% 167.11/25.26 | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | Case 1:
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.26 | | | | | | | | | | | | | | (11878) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 167.11/25.26 | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 167.11/25.26 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.26 | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.11/25.26 | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.11/25.26 | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 167.11/25.26 | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 167.11/25.26 | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.11/25.26 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (45), (51), (112), (113), (117), (118),
% 167.11/25.27 | | | | | | | | | | | | | | (133), (139), (146), (157), (159), (160), (162),
% 167.11/25.27 | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (170), (197),
% 167.11/25.27 | | | | | | | | | | | | | | (198), (201), (207), (210), (213), (217), (219),
% 167.11/25.27 | | | | | | | | | | | | | | (222), (224), (226), (230), (232), (233), (234),
% 167.11/25.27 | | | | | | | | | | | | | | (235), (236), (239), (260), (261), (270), (359),
% 167.11/25.27 | | | | | | | | | | | | | | (362), (11453), (11456), (11457), (11458),
% 167.11/25.27 | | | | | | | | | | | | | | (11459), (11463), (11466), (11699), (11702),
% 167.11/25.27 | | | | | | | | | | | | | | (11705), (11844), (11846), (11848), (11849),
% 167.11/25.27 | | | | | | | | | | | | | | (11852), (11878), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | inconsistent by sub-proof #140.
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | (11879) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 167.11/25.27 | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 167.11/25.27 | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 167.11/25.27 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.27 | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.11/25.27 | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 167.11/25.27 | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 167.11/25.27 | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.27 | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 167.11/25.27 | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 167.11/25.27 | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 167.11/25.27 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.11/25.27 | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 167.11/25.27 | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 167.11/25.27 | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 167.11/25.27 | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 167.11/25.27 | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.11/25.27 | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 167.11/25.27 | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.11/25.27 | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 167.11/25.27 | | | | | | | | | | | | | | & $i(all_57_14)))))
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | ALPHA: (11879) implies:
% 167.11/25.27 | | | | | | | | | | | | | | (11880) op(e0, e0) = all_57_15
% 167.11/25.27 | | | | | | | | | | | | | | (11881) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.11/25.27 | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 167.11/25.27 | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 167.11/25.27 | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.11/25.27 | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 167.11/25.27 | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 167.11/25.27 | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.11/25.27 | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 167.11/25.27 | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 167.11/25.27 | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.11/25.27 | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.11/25.27 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.11/25.27 | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.11/25.27 | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.27 | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.27 | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.11/25.27 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.11/25.27 | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.27 | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.11/25.27 | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.11/25.27 | | | | | | | | | | | | | | $i(all_57_14))))
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (51), (158), (159), (11459), (11466),
% 167.11/25.27 | | | | | | | | | | | | | | (11700), (11847), (11880), (11881),
% 167.11/25.27 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.27 | | | | | | | | | | | | | | #138.
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | (11882) all_24_2 = e2
% 167.11/25.27 | | | | | | | | | (11883) ( ~ (all_24_0 = e3) & op(e1, e2) = all_24_0 &
% 167.11/25.27 | | | | | | | | | $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e2, e2)
% 167.11/25.27 | | | | | | | | | = all_24_1 & $i(all_24_1))
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | COMBINE_EQS: (322), (11882) imply:
% 167.11/25.27 | | | | | | | | | (11884) all_14_2 = e2
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | REDUCE: (348), (11884) imply:
% 167.11/25.27 | | | | | | | | | (11885) ~ (all_52_2 = e2)
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | REDUCE: (359), (11884) imply:
% 167.11/25.27 | | | | | | | | | (11886) ~ (all_52_6 = e2)
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | REDUCE: (361), (11884) imply:
% 167.11/25.27 | | | | | | | | | (11887) ~ (all_52_8 = e2)
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | REDUCE: (366), (11884) imply:
% 167.11/25.27 | | | | | | | | | (11888) ~ (all_52_14 = e2)
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | REDUCE: (51), (11884) imply:
% 167.11/25.27 | | | | | | | | | (11889) op(e1, e1) = e2
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | BETA: splitting (73) gives:
% 167.11/25.27 | | | | | | | | |
% 167.11/25.27 | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | (11890) ~ (all_28_2 = e0)
% 167.11/25.27 | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | REDUCE: (314), (11890) imply:
% 167.11/25.27 | | | | | | | | | | (11891) ~ (all_10_2 = e0)
% 167.11/25.27 | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | BETA: splitting (199) gives:
% 167.11/25.27 | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | (11892) all_54_5 = e1
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | COMBINE_EQS: (268), (11892) imply:
% 167.11/25.27 | | | | | | | | | | | (11893) all_10_2 = e1
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | REDUCE: (11463), (11893) imply:
% 167.11/25.27 | | | | | | | | | | | (11894) $false
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | CLOSE: (11894) is inconsistent.
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | (11895) ~ (all_54_5 = e1)
% 167.11/25.27 | | | | | | | | | | | (11896) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e0
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | BETA: splitting (11896) gives:
% 167.11/25.27 | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | (11897) all_54_5 = e2
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | COMBINE_EQS: (268), (11897) imply:
% 167.11/25.27 | | | | | | | | | | | | (11898) all_10_2 = e2
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | REDUCE: (350), (11898) imply:
% 167.11/25.27 | | | | | | | | | | | | (11899) ~ (all_52_4 = e2)
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | REDUCE: (356), (11898) imply:
% 167.11/25.27 | | | | | | | | | | | | (11900) ~ (all_52_9 = e2)
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | REDUCE: (11465), (11898) imply:
% 167.11/25.27 | | | | | | | | | | | | (11901) ~ (e3 = e2)
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | REDUCE: (45), (11898) imply:
% 167.11/25.27 | | | | | | | | | | | | (11902) op(e2, e2) = e2
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | BETA: splitting (234) gives:
% 167.11/25.27 | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | (11903) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 167.11/25.27 | | | | | | | | | | | | | & op(e3, e2) = e2)
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | REF_CLOSE: (5), (170), (11705), (11899), (11903),
% 167.11/25.27 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.27 | | | | | | | | | | | | | #661.
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | (11904) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 167.11/25.27 | | | | | | | | | | | | | & op(e3, e0) = e2)
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | BETA: splitting (11904) gives:
% 167.11/25.27 | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | (11905) all_56_4 = e2 & op(e3, e1) = e2
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | REF_CLOSE: (169), (11887), (11905), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | inconsistent by sub-proof #1084.
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | (11906) all_56_9 = e2 & op(e3, e0) = e2
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | ALPHA: (11906) implies:
% 167.11/25.27 | | | | | | | | | | | | | | (11907) all_56_9 = e2
% 167.11/25.27 | | | | | | | | | | | | | | (11908) op(e3, e0) = e2
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 167.11/25.27 | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | (11909) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 167.11/25.27 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 167.11/25.27 | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | BETA: splitting (11909) gives:
% 167.11/25.27 | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | (11910) all_56_12 = e2 & op(e0, e3) = e2
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | ALPHA: (11910) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11911) all_56_12 = e2
% 167.11/25.27 | | | | | | | | | | | | | | | | (11912) op(e0, e3) = e2
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 167.11/25.27 | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11912) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11913) all_52_3 = e2
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 167.11/25.27 | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (11908) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11914) all_52_12 = e2
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | REDUCE: (148), (11913) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11915) ~ (all_52_1 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | REDUCE: (140), (11913) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11916) ~ (all_52_7 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | SIMP: (11916) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11917) ~ (all_52_7 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | REDUCE: (139), (11913) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11918) ~ (all_52_11 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | SIMP: (11918) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | (11919) ~ (all_52_11 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | (11920) ~ (all_48_2 = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | REDUCE: (11697), (11920) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | (11921) $false
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | CLOSE: (11921) is inconsistent.
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | (11922) ( ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 167.11/25.27 | | | | | | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e0, e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | BETA: splitting (11462) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | (11923) ~ (all_8_0 = e2) & op(e0, e3) = all_8_0 &
% 167.11/25.27 | | | | | | | | | | | | | | | | | | $i(all_8_0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | ALPHA: (11923) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | (11924) ~ (all_8_0 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | (11925) op(e0, e3) = all_8_0
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (11912), (11924), (11925), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #170.
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | (11926) ~ (all_8_1 = e1) & op(e3, e3) = all_8_1 &
% 167.11/25.27 | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | ALPHA: (11926) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | (11927) ~ (all_8_1 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | (11928) op(e3, e3) = all_8_1
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | BETA: splitting (11922) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11929) ~ (all_48_0 = e2) & op(e3, e0) = all_48_0 &
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | $i(all_48_0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | ALPHA: (11929) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11930) ~ (all_48_0 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11931) op(e3, e0) = all_48_0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11908), (11930), (11931), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #640.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11932) ~ (all_48_1 = e1) & op(e0, e0) = all_48_1 &
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | ALPHA: (11932) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11933) ~ (all_48_1 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11934) op(e0, e0) = all_48_1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (11459), (11934) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11935) all_48_1 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_1,
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (11705), (11928) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | (11936) all_8_1 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11937) all_54_2 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11937) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11938) all_52_8 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | SIMP: (11938) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11939) all_52_8 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11939) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11940) ~ (all_52_4 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11939) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11941) ~ (all_52_11 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | SIMP: (11941) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11942) ~ (all_52_11 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (11887), (11939) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | (11943) ~ (e2 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | (11944) all_54_14 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11942), (11944) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | sub-proof #1190.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | (11945) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | (11946) all_54_1 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11940), (11946) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #824.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | (11947) ~ (all_54_1 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | (11948) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11948) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | (11949) all_54_1 = e2
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11899), (11949) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #821.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | (11950) ~ (all_54_1 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | (11951) all_54_1 = e3 | all_54_1 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | (11952) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11952) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | (11953) all_56_0 = e1 & op(e3, e3) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11953) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | (11954) op(e3, e3) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11927), (11928), (11954), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | (11955) all_56_1 = e1 & op(e3, e2) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11940), (11955), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #730.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | (11956) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11956) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | (11957) all_56_4 = e1 & op(e3, e1) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11957) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | (11958) all_56_4 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | (11959) op(e3, e1) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11960) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) all_56_4 = e3 & op(e3, e1) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11961) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) all_56_4 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11958), (11962) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) e3 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (11963) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) $false
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11964) is inconsistent.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) all_56_5 = e3 & op(e2, e1) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11965) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) all_56_5 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) op(e2, e1) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11968) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) all_56_4 = e0 & op(e3, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11702), (11969), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) all_56_5 = e0 & op(e2, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11966), (11970) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1292.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11971) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) all_56_8 = e0 & op(e1, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11972) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) op(e1, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11889), (11973), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) all_56_14 = e0 & op(e0, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11974) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) all_56_14 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11951) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) all_54_1 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11976) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) all_52_4 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11977) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) all_52_4 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11978) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) ~ (all_52_6 = e3)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11979) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) ~ (all_52_6 = e3)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11978) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) ~ (all_52_7 = e3)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11982) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) all_56_6 = e3 & op(e1, e3) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11983) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) all_56_6 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (11698), (11902), (11985),
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #158.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11986) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) all_56_5 = e0 & op(e2, e1) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11966), (11987) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1292.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) all_56_10 = e0 & op(e2, e0) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11988) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) all_56_10 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11990) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) all_56_9 = e1 & op(e3, e0) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11991) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) all_56_9 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11907), (11992) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1199.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) all_56_10 = e1 & op(e2, e0) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11993) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) all_56_10 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11989), (11994) are inconsistent by
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #840.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11995) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) all_56_11 = e1 & op(e1, e0) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11996) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) op(e1, e0) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11998) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) all_56_0 = e1 & op(e3, e3) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11999) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) op(e3, e3) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11927), (11928), (12000), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) all_56_2 = e1 & op(e2, e3) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12001) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) op(e2, e3) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12003) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) all_56_0 = e3 & op(e3, e3) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12004) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) op(e3, e3) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11705), (12005), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1393.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) all_56_1 = e3 & op(e3, e2) = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12006) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) all_56_1 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12008) all_56_15 = e0 & op(e0, e0) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12008) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12009) op(e0, e0) = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11459), (12009), (function-axioms) are
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1064.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12010) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12010) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12011) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11945) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12012) all_54_14 = e2
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12012) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12013) all_52_11 = e2
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11919), (12013) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12014) $false
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12014) is inconsistent.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12015) ~ (all_54_14 = e2)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12016) all_54_14 = e3 | all_54_14 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12016) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12017) all_54_14 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12017) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018) all_52_11 = e3
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11455), (12018) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12019) $false
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12019) is inconsistent.
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12020) all_54_14 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12020) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12021) all_52_11 = e0
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (12021) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12022) ~ (all_52_7 = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11455), (12021) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12023) ~ (e3 = e0)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12024) all_54_13 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (12024) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12025) all_52_7 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12025) implies:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12026) all_52_7 = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (12026) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027) ~ (all_52_6 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11454), (12026) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12028) ~ (e3 = e1)
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (12026) imply:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12029) op(e0, e2) = e1
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12030) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12031) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12031) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12032) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12032) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12033) op(e2, e3) = e2
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12002), (12033), (function-axioms) are
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12034) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12034) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12035) all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_12 = e3) & op(e2, e2) = all_57_12
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12035) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12036) op(e1, e1) = e3
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12011) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12037) all_56_12 = e0 & op(e0, e3) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12037) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12038) op(e0, e3) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11700), (12038), (function-axioms) are
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12039) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12039) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12040) all_56_13 = e0 & op(e0, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12040) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12041) op(e0, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12029), (12041), (function-axioms) are
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (219), (11900), (11959),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975), (12036), (function-axioms) are
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12042) all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) = e2 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e2) & op(e1, e1) = all_57_14
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12042) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12043) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11889), (12027), (12043),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12044) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12044) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12045) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12045) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12046) op(e1, e2) = e1
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (162), (193), (250), (11997),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12046), (function-axioms) are inconsistent by
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #374.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (162), (165),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (238), (11456), (11459), (11700), (11705),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11889), (11900), (11927), (11928), (12027),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047), (function-axioms) are inconsistent by
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12048) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12048) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12049) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12049) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12050) all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 = e1
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | ( ~ (all_57_14 = e0) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12050) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12051) op(e3, e0) = e3
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (272), (11701), (11951), (12051),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #675.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12052) (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12052) gives:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12053) all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 = e2
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2) | ( ~ (all_57_12 = e3) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0, e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e3) & op(e0, e0) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12053) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12054) op(e3, e3) = e3
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007), (12054), (function-axioms) are
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12055) all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) = e3)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_13 = e1 & op(e1,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_14 = e0) & op(e1,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12055) implies:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12056) op(e2, e2) = e0
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11902), (12056), (function-axioms) are
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1358.
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12057) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.11/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12057) gives:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12058) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12058) implies:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12059) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11889), (12027), (12059),
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12060) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12060) gives:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12061) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12061) implies:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12062) op(e1, e1) = e1
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11889), (12062), (function-axioms) are
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #667.
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12063) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12063) implies:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12064) op(e0, e0) = all_57_15
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12065) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (51), (158), (159), (11459), (11466),
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700), (12022), (12064), (12065),
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #138.
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12066) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e0
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11454), (11917), (12022), (12066) are
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #800.
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12067) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12067) gives:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068) all_56_4 = e3 & op(e3, e1) = e3
% 167.20/25.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12068) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12069) all_56_4 = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11958), (12069) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12070) all_56_9 = e3 & op(e3, e0) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12070) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12071) op(e3, e0) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (272), (11701), (11951), (12071),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #675.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12072) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12073) all_56_6 = e1 & op(e1, e3) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11984), (12073) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12074) all_56_12 = e1 & op(e0, e3) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11911), (12074) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12075) all_56_15 = e1 & op(e0, e0) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12075) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12076) op(e0, e0) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11933), (11934), (12076), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12077) all_56_7 = e3 & op(e1, e2) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11980), (12077), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12078) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12078) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12079) all_56_8 = e3 & op(e1, e1) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12079) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080) op(e1, e1) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (11900), (11966), (11967), (11975),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080), (function-axioms) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #146.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12081) all_56_11 = e3 & op(e1, e0) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11458), (12081), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12082) all_54_1 = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11701), (12082) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #799.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12083) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12083) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084) all_56_8 = e3 & op(e1, e1) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12084) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085) op(e1, e1) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11889), (12085), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12086) all_56_14 = e3 & op(e0, e1) = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11455), (12086), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1099.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (12087) all_56_9 = e1 & op(e3, e0) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11907), (12087) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1339.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | (12088) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12088) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | (12089) all_54_2 = e2
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11887), (12089) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | sub-proof #1132.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | (12090) ~ (all_54_2 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | (12091) all_54_2 = e3 | all_54_2 = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12091) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | (12092) all_54_2 = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (12092) imply:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | (12093) all_52_8 = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12093) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | (12094) all_52_8 = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (12094) imply:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | (12095) ~ (all_52_4 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12096) all_54_1 = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (12096) imply:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12097) all_52_4 = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12097) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12098) all_52_4 = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (12098) imply:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12099) ~ (all_52_6 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12099) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12100) ~ (all_52_6 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12095), (12098) imply:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12101) ~ (e3 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11899), (12098) imply:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | (12102) ~ (e2 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (12103) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12103) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (12104) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (167), (11889), (11915), (12100),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (12104), (function-axioms) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #129.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (12105) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12105) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12106) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12106) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12107) op(e1, e2) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12100), (12107), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1407.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12108) (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (162), (165),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (238), (11456), (11459), (11700), (11705),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (11889), (11900), (11927), (11928), (12100),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12108), (function-axioms) are inconsistent by
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (12109) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12109) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (12110) (all_57_9 = e3 & all_57_10 = e0 & op(e3, e3) = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3 & op(e0, e0) = all_57_15 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_11 = e2 & op(e2, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_13 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e3 & op(e3, e3) = e3 & ((all_57_0 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e3) = e2) | ( ~ (all_57_12 = e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_1 = e1 & op(e1, e3) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e3) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_11 = e2 & all_57_12 = e0 & op(e2, e2) = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & op(e0, e0) = all_57_15 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_15) & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_13 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1) | ( ~ (all_57_14 = e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (11705), (11902), (11908), (12110),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | #656.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (12111) (all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e2) = e3) | ( ~ (all_57_10 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12111) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12112) all_57_12 = e2 & op(e2, e2) = e2 & ((all_57_3 = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_10 = e2) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_4 = e1 & op(e1, e2) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e2) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))) & ((all_57_5 = e0 & op(e0, e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e2) & op(e0, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12112) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12113) (all_57_4 = e1 & op(e1, e2) = e1) | ( ~ (all_57_14
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11889), (12100), (12113),
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (12114) (all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = e3) | ( ~ (all_57_10 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0) | ( ~ (all_57_15 = e1) & op(e0,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & op(e1, e3) = e1) | ( ~ (all_57_14
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_5 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e2 & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_12) & ((all_57_3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e2) = e3) | ( ~ (all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14)))) | (all_57_8 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e1 & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_14) & ((all_57_6
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e3, e1) = e3) | ( ~ (all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12)))) | (all_57_13 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 = e0 & op(e1, e1) = e0 & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12114) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12115) all_57_14 = e1 & op(e1, e1) = e1 & ((all_57_6 = e3
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | ( ~ (all_57_10 = e1) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_7 = e2 & op(e2, e1) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e1) & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_8 = e0 & op(e0, e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | ( ~ (all_57_15 = e1) & op(e0, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 & $i(all_57_15)))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12115) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12116) op(e1, e1) = e1
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11889), (12116), (function-axioms) are
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #667.
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12117) op(e0, e0) = all_57_15 & $i(all_57_15) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12))) & ((all_57_1 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | ( ~ (all_57_14 = e3) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_4 = e1 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | ( ~ (all_57_14 = e2) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_7 = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2) | ( ~ (all_57_12 = e1) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e1, e0) = e1 & ((all_57_9 = e3 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3) | ( ~ (all_57_10 = e0) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_10 & $i(all_57_10))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_11 = e2 & op(e2, e0) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e0) & op(e2, e2) = all_57_12
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_12)))) | (all_57_15 = e0 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_9 = e3 & op(e3, e0) = e3) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e0) & op(e3, e3) = all_57_10
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_11 = e2 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2) | ( ~ (all_57_12 = e0) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_14)))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12117) implies:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12118) op(e0, e0) = all_57_15
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12119) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12119) gives:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12120) (all_57_2 = e0 & all_57_15 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & op(e0, e3) = e0 & $i(all_57_10) &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_0 = e2 & op(e2, e3) = e2) | ( ~
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_12 = e3) & op(e2, e2) = all_57_12 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_12))) & ((all_57_1 = e1 & op(e1,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_14 = e3) & op(e1,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14)))) |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_5 = e0 & all_57_15 = e2 & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & op(e0, e2) = e0 & $i(all_57_12) &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_3 = e3 & op(e3, e2) = e3) | ( ~
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e2) & op(e3, e3) = all_57_10 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_4 = e1 & op(e1,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_14 = e2) & op(e1,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_14 & $i(all_57_14))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (162), (11700), (11889), (12100), (12120),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12121) (all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_12 = e1) & op(e2,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_12 & $i(all_57_12)))) |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12121) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12122) all_57_8 = e0 & all_57_15 = e1 & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_14 & op(e0, e1) = e0 & $i(all_57_14) &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_6 = e3 & op(e3, e1) = e3) | ( ~
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_10 = e1) & op(e3, e3) = all_57_10 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_10))) & ((all_57_7 = e2 & op(e2, e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12)))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12122) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12123) all_57_15 = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12118), (12123) imply:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12124) op(e0, e0) = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11933), (11934), (12124), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12125) (all_57_13 = e1 & all_57_14 = e0 & op(e1, e1) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & ((all_57_9 = e3 & op(e3, e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_15 = e0 & ((all_57_9 = e3 & op(e3, e0) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e0) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_11 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2) | ( ~ (all_57_12 = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_12 & $i(all_57_12))) &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_13 = e1 & op(e1, e0) = e1) | ( ~
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_14 = e0) & op(e1, e1) = all_57_14 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_14))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11705), (11889), (11908), (12125),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #653.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | (12126) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11701), (11899), (12095), (12126) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1311.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | (12127) all_54_2 = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11702), (12127) are inconsistent by
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | sub-proof #203.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | (12128) all_56_13 = e2 & op(e0, e2) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | ALPHA: (12128) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | (12129) all_56_13 = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | (12130) op(e0, e2) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | (12131) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (11701), (11902), (12131),
% 167.20/25.30 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.30 | | | | | | | | | | | | | | | | | #660.
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | (12132) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | BETA: splitting (12132) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12133) all_56_7 = e0 & op(e1, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | ALPHA: (12133) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12134) op(e1, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (158), (225),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (226), (228), (11454), (11902), (12129), (12130),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12134), (function-axioms) are inconsistent by
% 167.20/25.30 | | | | | | | | | | | | | | | | | | sub-proof #128.
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12135) all_56_13 = e0 & op(e0, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | ALPHA: (12135) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12136) op(e0, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12130), (12136), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | (12137) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 167.20/25.30 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | BETA: splitting (12137) gives:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | (12138) all_56_14 = e2 & op(e0, e1) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | ALPHA: (12138) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | (12139) all_56_14 = e2
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (217),
% 167.20/25.30 | | | | | | | | | | | | | | | | (218), (220), (11702), (11889), (12139),
% 167.20/25.30 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.30 | | | | | | | | | | | | | | | | #663.
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | (12140) all_56_15 = e2 & op(e0, e0) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | ALPHA: (12140) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | (12141) op(e0, e0) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | (12142) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | BETA: splitting (12142) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12143) all_56_9 = e3 & op(e3, e0) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | ALPHA: (12143) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12144) op(e3, e0) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11908), (12144), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12145) all_56_10 = e3 & op(e2, e0) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | ALPHA: (12145) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12146) all_56_10 = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (210), (212),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (11907), (12141), (12146), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1103.
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | (12147) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | BETA: splitting (12147) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12148) all_56_11 = e3 & op(e1, e0) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11458), (12148), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1098.
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12149) all_56_15 = e3 & op(e0, e0) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11459), (12141), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1319.
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | (12150) all_54_5 = e3 | all_54_5 = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | REF_CLOSE: (268), (11465), (11891), (12150) are inconsistent
% 167.20/25.30 | | | | | | | | | | | | by sub-proof #1400.
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | (12151) all_28_2 = e0
% 167.20/25.30 | | | | | | | | | | (12152) ( ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 167.20/25.30 | | | | | | | | | | $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e0, e0)
% 167.20/25.30 | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | COMBINE_EQS: (314), (12151) imply:
% 167.20/25.30 | | | | | | | | | | (12153) all_10_2 = e0
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | SIMP: (12153) implies:
% 167.20/25.30 | | | | | | | | | | (12154) all_10_2 = e0
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (352), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12155) ~ (all_52_6 = e0)
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (354), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12156) ~ (all_52_7 = e0)
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (356), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12157) ~ (all_52_9 = e0)
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (358), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12158) ~ (all_52_13 = e0)
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (11465), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12159) ~ (e3 = e0)
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (11463), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12160) ~ (e1 = e0)
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | REDUCE: (45), (12154) imply:
% 167.20/25.30 | | | | | | | | | | (12161) op(e2, e2) = e0
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | BETA: splitting (217) gives:
% 167.20/25.30 | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | (12162) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 167.20/25.30 | | | | | | | | | | | & op(e2, e1) = e0)
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | BETA: splitting (12162) gives:
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | (12163) all_56_4 = e0 & op(e3, e1) = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | REF_CLOSE: (169), (11702), (12163), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | inconsistent by sub-proof #1182.
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | (12164) all_56_5 = e0 & op(e2, e1) = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | REF_CLOSE: (165), (12157), (12164), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | (12165) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 167.20/25.30 | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | BETA: splitting (12165) gives:
% 167.20/25.30 | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | (12166) all_56_8 = e0 & op(e1, e1) = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | ALPHA: (12166) implies:
% 167.20/25.30 | | | | | | | | | | | | (12167) op(e1, e1) = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | REF_CLOSE: (5), (11889), (12167), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | (12168) all_56_14 = e0 & op(e0, e1) = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | ALPHA: (12168) implies:
% 167.20/25.30 | | | | | | | | | | | | (12169) op(e0, e1) = e0
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | BETA: splitting (11883) gives:
% 167.20/25.30 | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | (12170) ~ (all_24_0 = e3) & op(e1, e2) = all_24_0 &
% 167.20/25.30 | | | | | | | | | | | | | $i(all_24_0)
% 167.20/25.30 | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | ALPHA: (12170) implies:
% 167.20/25.30 | | | | | | | | | | | | | (12171) ~ (all_24_0 = e3)
% 167.20/25.30 | | | | | | | | | | | | | (12172) op(e1, e2) = all_24_0
% 167.20/25.30 | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 167.20/25.30 | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | (12173) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 167.20/25.30 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | BETA: splitting (12173) gives:
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | (12174) all_56_6 = e0 & op(e1, e3) = e0
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | REF_CLOSE: (163), (11699), (12174), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | inconsistent by sub-proof #1126.
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | (12175) all_56_7 = e0 & op(e1, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | REF_CLOSE: (162), (12155), (12175), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | inconsistent by sub-proof #1203.
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | (12176) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 167.20/25.30 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | BETA: splitting (12176) gives:
% 167.20/25.30 | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | (12177) all_56_8 = e0 & op(e1, e1) = e0
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | ALPHA: (12177) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | (12178) op(e1, e1) = e0
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | REF_CLOSE: (5), (11889), (12178), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | inconsistent by sub-proof #1077.
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | (12179) all_56_11 = e0 & op(e1, e0) = e0
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | ALPHA: (12179) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | (12180) op(e1, e0) = e0
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 167.20/25.30 | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | (12181) all_56_15 = e0 & op(e0, e0) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | ALPHA: (12181) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | (12182) op(e0, e0) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11459), (12182), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1064.
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | (12183) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 167.20/25.30 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 167.20/25.30 | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | ALPHA: (12183) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | (12184) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 167.20/25.30 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | e1) = e0)
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | (12185) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | BETA: splitting (12185) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12186) (all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e3) & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_2 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | BETA: splitting (12186) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12187) all_57_0 = e2 & all_57_12 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e2, e3) = e2 & op(e2, e2) = e3 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_1 = e1 & op(e1, e3) = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_14 = e3) & op(e1, e1) = all_57_14
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | & $i(all_57_14))) & ((all_57_2 = e0 & op(e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e3) = e0) | ( ~ (all_57_15 = e3) & op(e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | ALPHA: (12187) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12188) op(e2, e2) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12161), (12188), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12189) (all_57_1 = e1 & all_57_14 = e3 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | all_57_10 & op(e1, e3) = e1 & op(e1, e1) = e3 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | $i(all_57_10) & ((all_57_0 = e2 & op(e2, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e3) & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_2 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0) | ( ~ (all_57_15 = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | (all_57_3 = e3 & all_57_10 = e2 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = e3 & op(e2, e2) = all_57_12 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_4 = e1 & op(e1, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e1) | ( ~ (all_57_14 = e2) & op(e1, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | all_57_14 & $i(all_57_14))) & ((all_57_5 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11705), (11889), (12189),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | #202.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | (12190) (all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e2) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_5 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | ( ~ (all_57_15 = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (all_57_6 = e3 & all_57_10 = e1 & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = e3 & op(e1, e1) = all_57_14 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_7 = e2 & op(e2, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_12 = e1) & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_12 & $i(all_57_12))) & ((all_57_8 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (all_57_7 = e2 & all_57_12 = e1 & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e1 & op(e2, e1) = e2 & op(e1, e1) = all_57_14 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | $i(all_57_14) & ((all_57_6 = e3 & op(e3, e1) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_10 = e1) & op(e3, e3) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | all_57_10 & $i(all_57_10))) & ((all_57_8 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0) | ( ~ (all_57_15 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | & op(e0, e0) = all_57_15 & $i(all_57_15))))
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | BETA: splitting (12190) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12191) all_57_4 = e1 & all_57_14 = e2 & op(e2, e2) =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | all_57_12 & op(e1, e2) = e1 & op(e1, e1) = e2 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | $i(all_57_12) & ((all_57_3 = e3 & op(e3, e2) = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | ( ~ (all_57_10 = e2) & op(e3, e3) = all_57_10
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | & $i(all_57_10))) & ((all_57_5 = e0 & op(e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_15 = e2) & op(e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | e0) = all_57_15 & $i(all_57_15)))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | ALPHA: (12191) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12192) op(e1, e2) = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12193) op(e2, e2) = all_57_12
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | (12194) (all_57_5 = e0 & op(e0, e2) = e0) | ( ~ (all_57_15
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | = e2) & op(e0, e0) = all_57_15 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | $i(all_57_15))
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (12152) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | (12195) ~ (all_28_0 = e1) & op(e2, e0) = all_28_0 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | $i(all_28_0)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | ALPHA: (12195) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | (12196) ~ (all_28_0 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | (12197) op(e2, e0) = all_28_0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12194) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12198) all_57_5 = e0 & op(e0, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12198) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12199) op(e0, e2) = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (12156), (12199), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1310.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12200) ~ (all_57_15 = e2) & op(e0, e0) = all_57_15 &
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | $i(all_57_15)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12200) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12201) ~ (all_57_15 = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12202) op(e0, e0) = all_57_15
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | all_57_15, e0, e0, simplifying with (11459),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12202) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12203) all_57_15 = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (12169) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12204) all_52_11 = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (12180) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12205) all_52_14 = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (12192) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12206) all_52_6 = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | all_24_0, e2, e1, simplifying with (162), (12172)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12207) all_52_6 = all_24_0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | all_28_0, e0, e2, simplifying with (164), (12197)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12208) all_52_13 = all_28_0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | all_57_12, e2, e2, simplifying with (12161),
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12193) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12209) all_57_12 = e0
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12206), (12207) imply:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12210) all_24_0 = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (12206) imply:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12211) ~ (all_52_7 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (12211) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12212) ~ (all_52_7 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11886), (12206) imply:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12213) ~ (e2 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12171), (12210) imply:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | (12214) ~ (e3 = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | (12215) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12215) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | (12216) all_56_12 = e1 & op(e0, e3) = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12216) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | (12217) all_56_12 = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | (12218) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12218) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | (12219) all_56_0 = e2 & op(e3, e3) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12219) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | (12220) op(e3, e3) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11705), (12220), (function-axioms) are
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #695.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | (12221) all_56_2 = e2 & op(e2, e3) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12221) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | (12222) op(e2, e3) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (12223) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12223) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12224) all_56_9 = e1 & op(e3, e0) = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12224) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12225) all_56_9 = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12226) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12226) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12227) all_56_12 = e2 & op(e0, e3) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12217), (12227) are inconsistent by
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1218.
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12228) all_56_13 = e2 & op(e0, e2) = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12228) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12229) all_56_13 = e2
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12230) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12230) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12231) all_56_1 = e3 & op(e3, e2) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12231) implies:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232) op(e3, e2) = e3
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12233) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 167.20/25.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12161), (12222), (12233),
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1136.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12234) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12234) gives:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12235) all_56_5 = e1 & op(e2, e1) = e1
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12235) implies:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12236) op(e2, e1) = e1
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12237) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12237) gives:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12238) all_56_4 = e3 & op(e3, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12238) implies:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12239) op(e3, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12240) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11705), (12232), (12240),
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #126.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12241) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12225), (12239), (12241),
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #672.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12242) all_56_5 = e3 & op(e2, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12242) implies:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12243) op(e2, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (12236), (12243), (function-axioms)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #985.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12244) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12244) gives:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12245) all_56_8 = e3 & op(e1, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12245) implies:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12246) op(e1, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11889), (12246), (function-axioms) are
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1209.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12247) all_56_14 = e3 & op(e0, e1) = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12247) implies:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12248) all_56_14 = e3
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (12184), (12217), (12229), (12248)
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #272.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12249) all_56_10 = e1 & op(e2, e0) = e1
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12249) implies:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12250) op(e2, e0) = e1
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12196), (12197), (12250), (function-axioms) are
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #875.
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 167.20/25.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12251) all_56_3 = e3 &